{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f8ba3161",
   "metadata": {},
   "source": [
    "# Interp 7: Building in structural biases"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6535c1f2",
   "metadata": {},
   "source": [
    "In the previous notebook, we have shown how to test hypothesis for a trained model. If you are content with the insights (tree structure and symmetry properties), you can simply stop here. However, if you want to leverage these properties and apply these inductive biases to your neural network, this notebook walks you through a few possiblities."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3b818211",
   "metadata": {},
   "outputs": [],
   "source": [
    "from kan import *"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e9926ed",
   "metadata": {},
   "source": [
    "Case 1: Separability\n",
    "\n",
    "* if you have confirmed that $f(x_1,x_2,x_3,x_4)=f_1(x_1)f_2(x_2)f_3(x_3)f_4(x_4)$, you can make the last operation to be multiplication. And you can use model.module to create modules so that variables do not interact."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cbe4788b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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evn3LlbVv3x6HDh2CmZlZke8pL7KyshAcHMxzffv48aPMOpUqVeJZPRwcHFC9enUFScxgMBilH6ZoMBiMCk1eXh7CwsJ4bjVRUVEy62hoaMDKyoqnWNSpU0ep+RtEIhG2b9+OJUuWIDs7myufMmUK1q1b90OJ7VJTU3HhwgW4u7vj+fPn+PLlCy/Ck5qaGmrXrg0HBwdMnToVbdu2LdYzSEtLw8KFC7F7926uTFtbG2vWrMH06dOVukeCiBATE8NTPIKDgznXsIIwNTXlKR4tW7aEurq6gqRmMBiM0gVTNBgMRoUiNjaWN3kMDAxEVlaWzDr16tXjTR4tLS2hqampIIkL58WLF3BxcYGPjw9X1rBhQxw6dAidOnWSyz2ICDk5OUhOTkZubi60tbVRtWpVuSgDnp6eGDt2LKKjo7kyR0dHuLu7o0mTJj99fXmRk5ODkJAQnlL67X4TaWhra8PGxoanlNaoUUNBEjMYDIZyYYoGg8Eot+Tm5uLx48c8xeJbVx1paGlpwcbGhqdY1KpVS0ESFw+RSIQtW7bgzz//RE5ODlc+ffp0/PXXXyW60VzeZGRkYNGiRdixYwdXpqWlhVWrVmH27NmlNgLUhw8feG52QUFBPIuSNOrXr89TPFq3bl1orhIGg8EoizBFg8FglBtiYmJ4G3yDgoJ4E3BpmJiY8CZ9LVu2LBOTvmfPnsHFxQX+/v5cWaNGjeDm5ob27dsrUbKf4/79+3B1dcXr16+5Mnt7e7i7u8PCwkKJkhWN3NxchIaG8t7Dby010tDU1IS1tTXvPaxdu7aCJGYwGIySgykaDAajTJKdnY3g4GDehC4mJkZmHR0dHdja2nITOgcHBxgbGytIYvkgFAqxceNGrFixgtsvIBAIMHPmTPzvf/+Djo6OkiX8eTIzM7F06VJs27aNy5quqamJFStWYO7cuWUu0lNsbCwvFHJAQEChm+zr1KnDUzwsLS2hpaWlIIkZDAZDPjBFg8FglHqICO/eveMpFcHBwcjLy5NZr1GjRrzJWosWLcrcJPVbwsPD4eLigsDAQK6scePGcHd3R5s2bZQoWcnw8OFDuLq68kIJ29jYwN3dHc2bN1eiZD+HUCjEkydPeC59r169kllHQ0MDlpaWPJe+evXqKTUAAYPBYBQGUzQYDEapIysri5dgzdfXF58+fZJZR1dXF3Z2djxrhaGhoYIkLlny8vKwfv16rFq1ilOuVFRUMGfOHKxcuVIpYXQVRVZWFpYtW4YtW7ZwEa/U1dWxfPlyzJ8/v9xEdEpISODt9fD390d6errMOjVr1uQpHjY2NuX6XWAwGGUPpmgwGAylQkSIjo7mre6GhoYWmjzN3NycN8lq1qxZqd0w/DOEhYVhzJgxCAkJ4cosLCzg7u4Oe3t7JUqmWHx9feHi4oKIiAiuzNLSEocPH0bLli2VKFnJIBKJ8PTpU16EqxcvXsiso6amhlatWvGseCYmJszqwWAwlAZTNBgMhkJJT09HYGAgp1j4+voiLi5OZh09PT3Y29tzkyc7OztUrVpVQRIrh9zcXKxduxb/+9//OKVLRUUF8+fPx/Llyyukv352djZWrFiBjRs38qwbS5YswaJFi8rEJv6fITExEX5+fpzy4efnh9TUVJl1jIyMeAq5ra1tmYpGxmAwyjZM0WAwGCUGESEyMpLnAhUWFsZL+vY9AoEATZs25a3KmpubQ0VFRYGSK5eQkBC4uLggNDSUK2vWrBnc3d1ha2urRMlKB/7+/nBxccGzZ8+4slatWuHw4cNo3bq18gRTMGKxGM+fP+f1r2fPnkHWsK6qqooWLVrw+lejRo2Y1YPBYJQITNFgMBhyIzU1FQEBAZyrh6+vLxITE2XWMTAw4PZU5Fsr9PT0FCRx6SI3Nxf/+9//sHbtWs6KoaqqioULF+LPP/8sVUkClU1OTg5Wr16NdevWQSQSAfjqOrRo0SIsXbq03Fs3CiIlJQX+/v48i2FSUpLMOtWqVeP1QVtbW1SpUkVBEjMYjPIMUzQYDMYPIRaL8eLFC95qanh4uMzVVBUVFTRv3py3mmpmZlahrBUFERgYCBcXF4SHh3NlLVq0gLu7O6ytrZUoWekmKCgILi4uePLkCVfGntv/RywWIzIykrcHKjw8vFCrYvPmzXkuV02aNGH9lMFgFBumaDAYjCKRnJws4R+enJwss46hoaGEf3jlypUVI3AZIScnBytXrsSGDRt4K/NLlizB4sWLK+zKfHHIzc3FmjVr8Ndff/EsQQsWLMCyZcuYJeg70tLSEBAQwFskSEhIkFlHX18f9vb2XF+2t7eHvr6+YgRmMBhlFqZoMBgMCUQiEZ4/f85bBX3+/LnMOqqqqmjVqhVPsTA1NWW+3zKQttegdevWcHd3r1B7DeTF48ePMWbMGN7elqZNm+Lw4cNsb4sMiAivX7/m9fewsDBO8S2Ipk2b8vq7hYVFuYz8xmAwfhymaDAYDHz58oWXudjPzw9paWky6xgbG/NcoKytrVk0myKSnZ2N5cuXY9OmTbzoSX/++ScWLlxYbnJDKIO8vDwuWte3OUfmzZuHFStWVMhoXT9CRkYGL5eNj49PodHhqlSpIpHLprxHh2MwGLJhigaDUcEQCoUIDw/nuU18m3lZGmpqarysxI6Ojqhfvz6zVvwAPj4+cHV15eWDsLKywuHDh9GiRQslSla+CAsLg4uLC4KDg7kyc3NzuLu7w8HBQYmSlU2ICG/evOF9N0JCQgrNd9O4cWPegkSzZs2gpqamIKkZDIayYYoGg1HOiY+P561KBgQEICMjQ2adWrVq8SYHVlZWLOPwT5KVlYU///wTW7Zs4TbMa2hoYPny5Zg3bx6zYpQAeXl52LhxI1asWMGzbsyaNQurV69m7/RPkpWVheDgYJ7L1cePH2XWqVSpEuzs7HguV9WrV1eQxAwGQ9EwRYPBKEfk5eUhLCyMt+r4+vVrmXU0NDRgZWXFUyzq1KnDrBVyxNvbG66uroiMjOTKbG1t4e7ujmbNmilRsopBeHg4XFxcEBgYyJU1btwYbm5uaNu2rRIlK18QEWJiYniKR3BwMHJzc2XWMzU15SkeLVu2ZIo3g1FOYIoGg1GGiY2N5Q3qgYGByMrKklmnXr16vEHd0tKSReUpITIyMrBkyRL8/fffnBVDU1MTq1atwuzZs5kLiQIRCoXYvHkzli1bxk18BQIBZsyYgTVr1kBHR0fJEpZPcnJyEBISwvtOvX//XmYdbW1t2NjY8BY/atSooSCJGQyGPGGKBoNRRsjNzcXjx495A/bbt29l1tHS0oKNjQ1PsahVq5aCJK7Y3L9/H66urjyLkoODA9zc3GBhYaFEySo2z58/h4uLC/z8/LgyU1NTuLm5oUOHDkqUrOLw4cMHLpmgj48PgoKCkJ2dLbNOgwYNeN+x1q1bs9DPDEYZgCkaDEYp5cOHDzylIigoCDk5OTLrmJiY8FYBW7ZsyQZjBZOeno5FixZh586dXJmWlhb+97//YebMmSz8ZylAJBJh69at+PPPP3kT3GnTpmHt2rUsepqCyc3NRWhoKM/lMzo6WmYdTU1NWFtb8753tWvXVpDEDAajqDBFg8EoBWRnZ0u4F8TExMiso6OjA1tbW26Qtbe3Z+4FSsbT0xNjx47lTZLatm0LNzc3NG7cWImSMaTx4sULuLq64tGjR1yZiYkJDh06BCcnJyVKxoiNjeWF3A4ICEBmZqbMOnXq1OEpHpaWliycMYOhZJiiwWAoGCLCu3fvJMJEFrZhslGjRrxBtEWLFszHv5SQlpaGBQsWYM+ePVyZtrY2/vrrL0ybNo1ZMUoxIpEIO3bswOLFi3n7myZNmoT169ezTPalBKFQiCdPnvAWY169eiWzjoaGBi8st4ODA+rVq8cCXTAYCoQpGgxGCZOVlcVLfOXr64tPnz7JrKOrqyuR+MrQ0FBBEjOKw+3btzFu3Djefpn27dvDzc0NjRo1UqJkjOIQGRmJsWPH4sGDB1xZ/fr1cejQIXTp0kWJkjEKIiEhgfdd9ff3R3p6usw6NWvW5OUDsra2ZmGOGYwShCkaDIYcISJER0fzVt1CQ0MLTWplbm7OW3Vr1qwZWwUv5aSmpmLu3Lk4cOAAV6ajo4P169dj8uTJUFFRUaJ0jB9BLBZj165dWLhwIc9NZ8KECdi4cSOqVKmiROkYhSESifD06VPe9/fFixcy66ipqaF169a876+JiQmzejAYcoIpGgzGT5CRkYGAgADeqlpcXJzMOlWqVIG9vT23omZnZ4eqVasqSGKGPLhx4wbGjx/PC9PZqVMnHDp0CA0bNlSiZAx5EBUVhbFjx8LLy4srq1u3Lg4ePIiuXbsqTzBGsUlMTISfnx/3jfbz80NqaqrMOkZGRjzFw9bWlgUIYDB+EKZoMBhFhIjw6tUr3mrZkydPIBKJCqwjEAjQtGlT3qBlYWHBVrvLKMnJyZgzZw7c3Ny4Ml1dXWzYsAETJ05kf9dyhFgsxt69ezF//nxkZGRw5WPHjsXmzZuhp6enROkYP4pYLMbz5895i0PPnj2DrKmQqqoqWrRowdsj16hRI2b1YDCKAFM0GIwCSE1NRUBAADcY+fr64suXLzLrGBgYcHsq8q0VbEJSPrh27RomTJiADx8+cGVdunTBwYMH0aBBA+UJxihR3rx5g7Fjx+Lu3btcWe3atbF//3706NFDiZIx5EVKSgr8/f153/qkpCSZdapVqybxrWeBAxgMSZiiwWDg6yrXixcveKtc4eHhMle5VFRU0Lx5c94ql5mZGVvVLmckJSVh1qxZOHLkCFdWuXJlbNq0CePHj2ermhUAIsKBAwcwd+5cpKWlceWjR4/G1q1bYWBgoETpGPJGLBYjMjKSZ70ODw+HWCwusI5AIJAYDxo3bszGA0aFhykajApJcnKyhN9ucnKyzDqGhoYSfrtsBat88++//2LixIm8KGFdu3bFgQMHUK9ePSVKxlAG7969w/jx43Hz5k2urGbNmti3bx969+6tRMkYJU1aWhrPwu3j41OohVtfX1/C6qGvr68YgRmMUgJTNBjlHpFIJNUnVxaqqqpo1aoVT7EwNTVlq9cVhC9fvmDGjBk4fvw4V1alShVs3boVLi4u7D2owBAR3NzcMHv2bN6m4pEjR2L79u0ssEMFgYjw+vVrnuIRFhZW6J49CwsL3rjStGlTZvVglGuYosEodyQmJnJ+tj4+PvD39y9SlJH8KFAODg6wsbFhUUYqKBcvXsQff/yBz58/c2U9evTAvn37UKdOHSVKxihNxMTEYMKECbh+/TpXZmxsjL1796Jfv37KE4yhNDIyMng5k3x8fIoUhfD7nElMWWWUJ5iiwSjTCIVCibjpL1++lFlHTU1NIltsgwYN2Cp1BSchIQHTpk3DqVOnuDJ9fX1s27YNzs7O7P1gSEBEOHLkCGbOnImUlBSufNiwYfj7779Zks0KDhHhzZs3PGt6SEhIoXmVGjduzNvr0axZM6ipqSlIagZDvjBFo5QiFosRGxuLsLAwhIaGIjo6GklJSRCLxdDT00O9evXQsmVLtGrVCnXr1q0wH6H4+HiJTLDfhp6URq1atXgfbSsrK5YJtgygyD5w7tw5TJ48GfHx8VxZr169sG/fPtSqVUsezWGUYz58+IA//vgDV65c4cqMjIywe/duDBw48KeuzcaC8kVWVhaCg4M5i4ePjw9vD5g0KlWqBDs7O97iWPXq1RUkcemA9YOyC1M0ShnZ2dl48OABDh8+DC8vL8TFxXE+n9/+qQQCAVRUVLhwqs7OzujWrVu52pycl5eHsLAwnmLx+vVrmXU0NDRgZWXFUyzq1KnDVqPLEIrsA3FxcZg6dSrOnj3LlRkYGODvv//GiBEj2HvDKDJEhOPHj2P69Om80Ki///47du7cCSMjo2Jdj40FFQMiwvv373njXHBwMHJzc2XWMzU15Y1zLVq0gLq6uoKkVhysH5QDiFEqEIvF5OvrSz169CAtLS0SCAQEgACQmpoa6enpUe3atalevXpkZGREOjo63DkCgYDU1dXJwcGBrl69Snl5ecpuzg/x6dMnunDhAs2fP5/at29P2tra3DMo6Khbty4NHjyYtm7dSj4+PpSdna3sZjB+EEX2AbFYTKdOnSJDQ0Pe+9SvXz/69OmTglrMKI98/PiR+vbty3uvDA0N6fTp0yQWiwutz8YCRnZ2Nvn4+NCWLVto8ODBVLdu3ULHQm1tberQoQPNnz+f/vnnnzL/HWP9oPzALBqlgOzsbOzevRt//fUXEhMTQURQV1dHixYt0LNnT7Rv3x4NGzZE5cqVoaKigtzcXMTHx+PJkyf477//cOfOHcTGxkIgEEBHRwcTJ07EsmXLSnWiuNzcXDx+/Ji3ivPmzRuZdbS0tGBtbc3bNFe7dm3FCMwoURTZBz5//ozJkyfjwoULXFm1atWwc+dODBkyhFkxGD8NEeHUqVOYNm0aLwTqgAEDsHv3bhgbG0utVxHHAkbR+PDhAy/ISVBQELKzs2XWadCgAc/dqnXr1tDQ0FCQxD8O6wflDCUqOQwiSktLo6lTp5KGhgYJBAJSUVEhBwcHunDhAqWmppJYLJZ5CIVCev36NS1evJhbnVVVVaW+fftSbGysspvHERMTQ2fPnqU5c+ZQmzZtSFNTs9AVGhMTExo2bBj9/fff5O/vTzk5OcpuBqMEUFQfEIvFdPz4capatSrvPRs4cGCp6iuM8kNsbCwNGDCA975VrVqVTpw4IWHdqChjAUM+5OTkkL+/P/399980bNgwMjExKXRM1dTUpDZt2tCcOXPo7NmzFBMTo+xmSMD6QfmDWTSUSHZ2NubOnYu9e/dCJBKhUqVKmD17NmbPng09PT1uZTUwMBAXL17k+SMaGBhg8uTJ0NHRAfB1o1RISAhmzpyJhw8fAgB69uyJI0eOKDxUXnZ2NkJCQniRoGJiYmTW0dHRga2tLbf6Ym9vjxo1aihIYoayUFQfyMnJwR9//IHLly9z9Q0NDbF79278/vvvCmwxo6JBRDh79iymTJmChIQErrxv377Ys2cPatasWW7HAoZiiY2N5Vk9AgICkJWVJbNOnTp1eHs9LC0toaWlpSCJ+bB+UE5RopJToRGLxbRp0yZSV1cnAKSvr09HjhyR6kt48OBBiZWJ+vXr05cvXySumb+Clr8SMGnSpBK1BIjFYnrz5g2dOnWKZsyYQfb29qShoVHoykqjRo1o1KhRtGvXLgoODmY+lBUQRfWBzp07k56eHq/ukCFDKC4uTlFNZTAoLi6OBg8ezHsPDQwM6MiRI7Rx48YyPxYwSh+5ubkUFBREu3btopEjR1KjRo0KHZs1NDTI3t6eZs6cSadOnaK3b98WaW/Rz1Je5kQMSZiioSR8fHw4Fw5tbW1yc3MjkUgk9dyidiqirx0rPj6efvvtNwJAWlpadPLkSbnJnZmZSffv36cNGzZQ//79qWbNmoV+uHR1dalz5860ePFi+vfffyk+Pl5u8jDKLorqA98eRkZGdP78+ZJuGoNRIOfOnSMjIyPee5k/uSpLYwGjbBIXF0f//vsvLV68mDp37ky6urqFjuE1a9akAQMG0IYNG+jBgweUmZkpd7nK6pyIUThM0VACWVlZ1K1bNxIIBCQQCGjWrFmUm5tb4PnF6VREXzvWy5cvqWHDhiQQCKhZs2b0+fPnYsspFovp9evXdPz4cZo6dSpZW1uTmppaoR+lJk2a0JgxY2jv3r0UGhpKQqGw2PdmlG8U2Qfyzx8wYAAlJCSUVJMYjCITHx9Pw4cP573PpXksYJRfhEIhhYaG0t69e2nMmDHUpEmTQsd4NTU1srGxoalTp9Lx48fp9evXP2X1KCtzIsaPwRQNJXD9+nXS0tIiANSsWbNCNygVt1MRfe1Ybm5upKamRioqKrR9+/ZC5UpPTydPT09au3Yt9enTR2LVTdpRpUoV+vXXX2nZsmV07do1mTIxGPmU1j7AYCiSP//8k3ufWT9glBa+fPlC165do2XLltGvv/5KVapUKXQuYGRkRH369KG1a9eSp6cnpaenF/l+bDwo3zBFQ8EIhUIaPHgw5y+4d+/eQlcCfqRTERGlpqaSnZ0dCQQCsra25nX8fA3/yJEjNGnSJGrdujWpqqrK/JDkrwSMHTuWDh48SOHh4QWaNhmMgigtfYDBUCasHzDKCiKRiMLDw+nAgQM0duxYatasGS+vhbRDVVWVWrduTZMmTaIjR47Qy5cvpb7frB+Uf1iOdgXz6dMn3L9/H0SEunXrom/fviUWt19XVxejRo1CQEAAnj17Bjc3N6SkpHBRKb6N7y6N/Ayb+dEo7OzsWBxqxk+jzD7w5MkTODg4lMi9GIziwPoBo6ygoqKCZs2aoVmzZhg3bhwAIDk5Gf7+/rxcWMnJyVwdkUiEx48f4/Hjx9izZw+Ar/mKvs3rYWdnh5SUFNYPyjlM0VAwjx8/5kIcdujQAUZGRrwQbcWlsLq//vor9PT0kJycjOnTpxd4noqKCpo3b84Lc2dmZgYVFZUflo3BkIay+kBKSgq8vb3ZwMIoFbB+wCjL6Ovro2vXrujatSuAr+FkX758yVM8wsPDIRaLuTpfvnzB1atXcfXqVQCAQCBAvXr18PnzZwCsH5RXmKKhYB4/fgyRSAQAaNu2LQBg//79ePHiRYF1wsPDJcqSkpKwdOnSAuNdV69eHbNmzULdunVhYmKCkJAQ3u/VqlXjKRW2traoXLnyjzaLwSgyyuwDISEhICKW/ZuhdFg/YJQnVFRUYG5uDnNzc4wZMwYAkJaWhoCAAF5OrW89KYgIb9++5f6f9YNyiuK9tSo2rq6uJBAISE1Nje7cuUN5eXnUtWvXQjdaFfdo3LgxJScnk0gk4jLT1qxZk9zc3CgyMlIhcbEZDGkosw+0a9dOZjQTBkNRsH7AqGiIxWKKjIwkDw8Pmjx5MllaWnJ7PVg/KL8wi4YCISIkJiaCiKCmpgYDA4MSv6dAIIChoSGAr5mQhw4dCm1t7RK/L4MhDWX3gZSUFAiFQqirq5f4fRmMgmD9gFEREQgEaNSoERo1aoRRo0aBiNCnTx9cuXKF9YNyDHPAVzD0f/6DAoFAYea6/H0W9BN+jwyGvGB9gMFg/YDBAABVVVUArB+UZ5iioWCqVKkCABAKhUhLSyvx+xERFwlCV1eX69QMhrJgfYDBYP2AUbEhIsTExCAjIwMA6wflGeY6pUAEAgHq1q0LgUAAoVCI6OhotGnTBi1atEB2dnaB9WJjY/Hy5UtemaamJqytraGmJv1PWLduXaipqSEvL4/bbBUQEIA2bdrAwsIC5ubm3L+NGjWChoaG/BrKYBSAsvtAtWrVCjyfwVAUcXFxyMrKAgCl9INatWqxfsBQCLm5uXj16hUiIiLw/Plz7t8XL14gPT2dO4/1g/ILe8IKpmXLlhAIBBCLxfDz88OoUaOwbt06mSY8d3d3TJw4kVdmbGyMCxcuoGrVqgXWU1NTw/v37/H69WsAX+NaBwUFISgoiHeeqqoqTE1NecpH/qGvr//jjWUwpKDMPnD16lU0atSIi7bm6OiIVq1aMR9dRomRm5uL0NBQXtjP6Oho7nciUmg/EAgEaNGiBQtdzpArycnJiIiI4I58peL169dcdDVZsH5QfmGKhoKxsrKCnp4ekpKS4OXlhZSUlEIn89JMewKBAOrq6jInSESEhw8fcrHaC0IkEuHly5d4+fIlLl++zPutRo0aPOUj/7/r1KnDQsIxfog6depAU1MTWVlZSukD0dHRiI6OxsmTJwEAWlpasLGx4SWSqlWr1o81jlHh+fjxI6dU+Pj4ICgoSObqLACF9gN1dXW0a9euSG1hML4l390pX4n4VqGIjY396euzflA+YYqGgqlfvz5sbGxw+/ZtREZGwsvLq8QyYebm5uLo0aO8hDnS0NTUhEgkglAolPgtNjYWsbGx8PT05JVXqlSJZ/nIV0DMzMyYGxZDgszMTFy6dAkeHh64ceMGt1qlyD5gYGCAxo0bIzQ0lDfxy87Ohre3N7y9vbmyevXq8RQPS0tLaGpqyl0+RtkmJycHISEhPGvFu3fvZNbJV2zt7Oxw7do1REREKLQf5ObmYu3atUhISEDfvn1ZFEKGBDk5ORLuTvlH/p6KoqCqqgo1NTXk5OQUeI6mpiYqVaqEpKQkhfaDBg0awMrKSu73YEjCFA0Fo6GhgVGjRsHT0xN5eXnYvn07fvnlF+jq6sr1PkSEe/fuwcvLCwKBACNGjICpqSk8PT3h4+ODvLw87tzvPwI1a9ZEtWrVQESIi4tDfHy8xPUzMjIKdMNq2LChhBuWhYUFc8OqYIjFYnh7e+PIkSM4e/as1I1+iuoDwFfT+u7du9GiRQsJV5aoqChe3Xfv3uHdu3c4c+YMgK/91srKipfksm7dunKVl1G6yV/N/Tb5WHBwMHJzc2XWa9iwIU9pbdWqFcLCwrB27VpEREQAUGw/AIC7d+/i7t27qFKlCn7//Xc4OzujXbt2zI2kgpGcnCzVOhEVFVUkd6d8DA0NYWxsDIFAgC9fvuDTp08AvnpLfH8dDQ0NODg4wMnJCU5OTnBwcMCZM2fg6uqq0DnRoEGDZLpZMeRIiWbpYEglKSmJrKysuGRNf//9N4lEogLPP3jwoETymfr169OXL18KrBMfH08ODg4kEAioVq1a9OrVK+63jIwMunXrFi1evJgcHR1JVVW1wCQ3AoGAWrZsSUOHDqXp06fT9OnTqVevXtSoUSNSUVEpVsIcY2Nj6tSpE/3xxx+0bds2unHjBr19+1Zm2xllj5cvX9Kff/5JDRo0kPoeNGjQgObNm0fNmjVTSB/4vl7Xrl3J09OTl7QyNjaWLl26RAsXLqROnTqRjo5Ooe9z7dq1aeDAgbRx40by9vamzMxMuT5HhnLJzMwkb29v2rhxIw0cOJBq1apV6Duho6NDnTp1ooULF9KlS5coNjaWu55YLCZPT88Ck5EpYiyoXLlyge1o0KAB/fnnnxQZGSnX58hQLiKRiN6+fUv//fcfbdu2jf744w/q2LEjGRsbF2v8VlFRoUaNGlGvXr24ucCwYcOoVatWXNK9gt5rR0dHWrx4Md26dYsyMjIkZIyPj+feS2XMiRglC1M0lMT58+dJW1ubAJChoSF5eXkVmK27uJ0qKyuLJk2axHX+WbNmycwEnpqaSteuXaN58+aRjY2NTAVCVVWV7O3taeHChfTvv/+Sn58fnT17llatWkXDhw8nKyurIk3Svh+craysaPjw4bRq1So6e/YsPXnyhLKzs+XyrBklT2JiIu3du5fatGkj9W9cuXJlcnV1pXv37nEDiKL6gIqKCunq6krUd3BwoEuXLkkd0PLy8ig4OJh2795No0aNIjMzs0LfY3V1dbK1taXp06fTiRMnKDo6Wma/Y5QexGIxRUVF0YkTJ2jatGlka2tL6urqhf7NzczMyNnZmXbv3k0hISGUl5cncW2RSESXLl2SqvQaGxvTqFGjFNIPVFVVaf369SQUCsnLy4tcXV2pcuXKUtvVpk0b2rt3LyUmJsr1OTNKjuzsbHry5EmJjMd+fn7077//0sKFC8ne3l7m4qSKigrZ2NjQvHnz6Nq1a5SamipT7rCwMLK2tuZdQxH9gH2bFQdTNJREbm4uTZo0iZvUN2zYkB49eiT15S9qpxKLxZSZmUlLlizhDZJqamq0evVqys3NLZJsSUlJdOnSJZo5cya1atWq0MlVu3bt6M8//6S7d+9SVlZWiaygzJs3jw4dOkSPHj1ig18pITc3ly5fvkyDBg0iDQ0NqX+/bt260YkTJ6SuYimiDwgEAurWrRt9/vyZdu/eTSYmJhLXad68OR07dkzqJPFb4uPj6cqVK7RkyRLq0qWLVOVF2kSyX79+tG7dOrp37x6lp6f/3ENnyIX09HTy8vKidevWUd++fYv0bdLV1aUuXbrQ0qVL6cqVKxQfHy/zHnl5eXT06FFq1qyZxLVMTExoz549lJWVpdB+kJKSwjsvIyODTpw4Qd26dZO6wKShoUGDBg2if//9t8jjB6NkSUxMpIcPH9KhQ4do3rx5JeJhkJWVRXfv3qU///yT2rZtW6jS3apVK5o5cyZdunSJkpKSitSO3NxcWrVqlcS18xdIFdkPGCULUzSUyIcPH6hq1apcR6lTpw6dPXuWcnNzeZ3r8OHDpKurS5UqVeIOCwsL3oRbLBZTbGwsjRs3jtTU1EggEJCmpiavI1paWlJoaGix5YyPj6dz587RlClTqGnTpjI/OJqamuTk5ESrVq2iBw8eUE5ODu9aiYmJ9OjRI3Jzc6N58+ZR7969yczMrNgfSSMjI+rYsSNNnDiRtm7dSv/99x+9efOGuWGVMGKxmIKCgmjGjBlUvXp1qX+bFi1a0KZNm+jjx4+FXi8hIYG6du3KDS7y7gMtWrTguYLk5eXRsWPHqHnz5lInf7t376asrKwiPQuhUEhhYWG0b98+cnFxIXNz80LfW1VVVbKysqLJkyfT0aNHKTIykq2slTBisZgiIyPp6NGjNHnyZLK0tJS5Ipt/WFhYkIuLC+3fv5/CwsJIKBQW6X6ZmZm0a9cuqa6DzZs3p+PHj0sotYruB9L48OEDbdy4UWrfAEDVq1enGTNmUFBQEHtnSxiRSERv3ryh//77j7Zu3UoTJ06kjh07kpGRUbHGSRUVFTIzM6PevXvT/Pnzyc3NTepiXU5ODj148IBWrVpFnTp1kpg7fH80bdqUpkyZQufPn6eEhIRit+/x48dkaWkpcc2bN28qvR8w5A9TNJSESCSiwYMHS3RgbW1tGjduHD179oyEQiGJxWJKTEykJ0+e8I4XL15wv6enp9PZs2epdevWJBAIuA7l7+9PixYt4g2qampqtGLFCgkFoDh8+vSJTp48SRMmTCjUpURHR4d+/fVXWrt2Lfn6+ha4apydnU3h4eF07tw5Wr16NY0YMeKHzb6WlpY0bNgwWrVqFZ05c4bCwsKKPHlkSOfDhw+0fv16qauz+YrfrFmzKCQkpNiTkJiYGPrll184ZVOefaAgxVokEtHly5fJ0dFRoi3Gxsa0bt26H1r1SkxMpOvXr9Py5cupa9eupKenV+g7a2hoSL169aI1a9bQnTt3KC0trdj3Zfx/UlNT6c6dO7RmzRrq1asXGRoaFvo30NPTo65du9Ly5cvp+vXrP2Q1TUlJoXXr1km1jjg6OtLly5dlLoQoox9IQywWU0hICM2cObPAiW3z5s1pw4YN9OHDh2I/J8b/Jysri8LCwujMmTO0cuVKGjZsGFlaWhZ73KtUqRJZW1vTiBEjaPXq1XTu3DkKDw8v0P04Ly+PfH196a+//qJff/210PuZmZnRxIkT6dSpU7x9R8UlJyeHli9fTmpqarzFl8WLF3OylkQ/yO/jISEhPyw748dhioYSEIvFNHXqVK6jaWlpUY8ePUhDQ4PrFNWrV6fRo0fTpUuX6O3bt5SRkUG5ubmUl5dHOTk5lJSURKGhobRt2zZydHTk6qqqqlLXrl15WntAQIDEKlWrVq0oODhYLu15//49HT16lFxcXArcAJx/VK5cmXr06EEbN26koKCgQlcJRSIRvXv3jm7cuEHbt2+nSZMmUadOnahGjRrFXtkxNTWlnj170ty5c+ngwYP08OFDmZvHKjrp6el07Ngx6tq1q1SLk6amJg0ePJiuXLny024VcXFxNHr06BLrAwUhFovJy8uLfvvtN6mTzyVLllBcXNwPt0skEtHTp0/p4MGDNG7cOG4DfGHvasuWLWnixInk7u5OERERbAW5AMRiMUVERJC7uztNnDiRWrZsWah1VCAQUPPmzWncuHF06NAhevr06U9ZQj9//kyLFy+WqlT+9ttvMn3Nv0dZ/aAgcnNz6cqVKzR48GCpq9wqKirUtWtXOnbsGHMLlMGXL1/I29ubDh48SHPnzqWePXuSqalpsS35NWrUoE6dOtGkSZNo+/btdOPGDXr37l2h769QKKTAwEDauHEj9ejRo8C9OflHgwYNyNXVlY4ePUoxMTFyeQbBwcHUsmVLCYU1MDBQ4lx59oNv7zdt2jT2LVUCTNFQAmvWrOFp81euXKHs7Gxyd3fn3IjyO4iqqioZGhpSy5YtycnJiX799Vdq06YNmZqaUqVKlXiDZ82aNWnt2rVSV2Kzs7Np6dKlEtaNP//886esG9KIjo4mNzc3GjVqFNWuXVvmB01fX5/69u1L27Zto7CwsGIN+ElJSeTj40Pu7u40f/586tOnDzVu3LhIbhHfHtWrV6cOHTrQhAkTaMuWLXT9+nWKjo6ukG5YIpGIPD09acyYMQXuQWjXrh3t37+/yL64ReX7PvBtH5FHHyiMwMBAGjRokMTgpK2tTdOmTaO3b9/KpZ3Jycl08+ZNWrVqFXXv3p0MDAwKfUcNDAyoe/futGrVKrp58yYlJyfLRZayRv6zW7lyZZGfXdWqValHjx60atUqunXrltye3Zs3b2jq1KncRu5v38Pff/+dgoKCfui6JT0W/ChJSUm0f/9+atu2rdTnrKurSy4uLuTp6Vlhv53R0dF0/fp12rJlC02YMIE6dOhQoItpQYeqqio1btyY+vTpQwsWLCB3d3fy8fEp1vdWJBJRWFgYbdu2jfr27Uv6+voy71mnTh0aNWoUubm5UXR0tFyfi6y5h6yAL/LqB87Ozrzx5K+//pJr+xiFwxQNBXPgwAFeBz98+DDv93wXlZYtW5KmpqbM1U+BQEDq6urUqFEjWrBgAb18+bJQbT0oKEjqqkJAQECJtFcsFtPLly9p3759NHTo0EI3XRoaGtKgQYNo165d9Pz58x9afcjOzqanT5/S+fPn6X//+x+NHDmSrK2teR+hohza2trUunVrGjp0KK1cuZJOnz5NoaGh5dINKyIigpYsWUL16tWT+ixMTExo+fLlCgkJ+OHDB/rrr7+KtNr3I32gMCIiIsjV1VVik6KamhqNHj2anj17JqeWfiV/Vf7w4cM0ceJEatWqVZFW5Zs1a0bjxo2jgwcP/vSqfGlEJBJReHg4HTx4kMaOHVtka1CrVq1o4sSJdPjwYXrx4oXcVzCfPXtGo0eP5rl/AF8DY7i6ulJERIRc7lOcsSD/kGc/kMWrV69o+fLlUoMrAKB69erRkiVL6MWLFyUmg7LIysqi0NBQOn36NK1cuZKGDh1KrVu3llA4Czt0dXXJxsaGRo4cSf/73//o/Pnz9PTp0x+KtigWi+nZs2e0a9cuGjRoUKHugsbGxjR06FDat29fib4r8vCmkMecyN3dnXfewYMHS6S9DOkIiP4vRS+jxLl8+TL69+/PZepev3495s+fL/Xc1NRUhISE4MGDBwgJCUFMTAxSU1NBRNDV1UXNmjXRokULtG/fHra2tqhWrVqRM2nmZ4b93//+x2UDV1VVxfz587F8+fISzYBMRHj+/Dk8PT3h6ekJLy8vfPnypcDza9SowSX2cXJygqmp6Q9nDCUifPjwQWqCovwEQ0VBIBDAxMSEl5Qw/99q1ar9kGzKIDExEadPn8aRI0fg5+cn8XuVKlUwZMgQODs7o23btiWSqbUg7t69iy5dugAAWrRoATMzM7n2gaLw/v17bNmyBfv370dmZiZXLhAI0K9fPyxatAi2trZyu9+3pKWlITAwkJccLiEhQWYdPT092Nvbc8nh7O3tYWBgUCLylQRJSUnw8/Pj2uzn54eUlBSZdQwNDXlJFG1sbFC5cuUSkS8gIABr167FxYsX8e2wqaOjgwkTJmDOnDmoU6eO3O9b2Fjw6dMnfPz4EQDwzz//lFhWZWkQEby9veHh4YEzZ84gNTVV4hwHBwc4OztjyJAhZSpB2pcvX6SOFdHR0SjOtKlmzZpSE9jWrl37p8ay169fc+Oop6cnYmNjCzy/WrVq6NSpE5ycnNC5c2eYm5uX6DuSnZ2NVatWYcOGDVzCPjU1NSxduhSLFi2ChoZGsa/5s3Oi9evXY+HChQAAFRUV/PPPP+jTp498GsyQjXL0m4rHgwcPSEtLi9OoC8tt8S1isZiys7MpPT2d0tPTuRCyP8vjx4+pdevWPE2/adOm5Ofn99PXLioikYgeP35MW7dupT59+hS6ebZu3brk7OxM7u7u9ObNG7nJkZSURL6+vnT48GFasGAB9e3bl5o0aVJsNyxDQ0Nq3749jR8/nrZs2ULXrl2jqKioUrPanJOTQxcvXqQBAwZIDVmoqqpKPXr0oFOnTik1Ad2MGTM4mU6ePFlifaAoxMfH07Jly6S66XTp0oVu375d4n6/YrGYXr16RUePHqUpU6aQlZVVkd5Nc3NzGjNmDO3bt49CQ0OLHDmppBEKhRQaGkr79u2jMWPGFCti15QpU+jo0aP06tUrhTz327dvU5cuXSTkMTAwoGXLlhUa5lbe8nzfD44dO8bJNHPmTIXJ8j2ZmZl06tQp6tGjh9R3U0NDgwYMGECXLl2Su7vujyISiSgqKoquXbtGmzdvpvHjx1P79u2LFEDg+3ezSZMm1LdvX1q4cCEdPnyYfH195eri+ObNG3J3dydnZ2eqU6eOTHn09PSoT58+tG3bNgoNDVXo+OPr60sWFhY8eSwtLenx48dyu8ePjAdisZhmzpzJyaSlpUXe3t5yk4lRMMyioQDCw8PRvn17JCcnAwCGDx+Oo0ePQkVFRbmCAcjLy8P69euxatUq5OXlAfiq7c+dOxcrV66ElpaWQuURiUR4/Pgx7t69C09PTzx48ADp6ekFnt+wYUOexaNWrVpylSc3NxevX7+WurIlS67v0dLSQpMmTSRWtho3bgxtbW25yvw9RISgoCB4eHjg5MmTUlfGW7duDWdnZwwbNgw1atQoUXkKg4jQqFEjREVFQU1NDfHx8dDX11eqTMBXK8P+/fuxefNmCQuYnZ0dFi1ahD59+iisX2dmZiIwMJCzePj4+ODz588y6+jq6sLOzo6zAjg4OMDQ0LDEZU1ISICvry8nq7+/f6H9x9jYGI6OjpysNjY20NHRKXFZAUAsFuPSpUtYu3YtAgICeL/VrFkTc+bMwYQJE0rMelIckpKSUL16dYhEIpiamiIyMlKh1kdpxMbG4sSJE/Dw8EBoaKjE74aGhhg2bBicnZ1hbW1d4vJmZWXh5cuXEt/wFy9eIDs7u8jX0dXVlWrJNjU1/aFVell8/PgRnp6e3FgYHR0tU6727dujc+fOcHJyQuvWraGqqipXeQojKysLy5cvx+bNmzmvDXV1dSxbtgwLFiyAurq6QuWRhlgsxsiRI3Hy5EkAgL6+Pry9vdGsWTMlS1a+YYpGCfPu3Tu0adMGHz58AAD8+uuvuHLlitw/Sj/LkydP4OLigqCgIK7M3Nwcbm5ucHR0VJpceXl5CAoK4j62Dx8+RFZWVoHnN27cmPvYdurUCUZGRiUiFxHh48eP3ID1rSKS78ZQFAQCARo0aCBhVjc3N//pCWBMTAyOHTsGDw8PPH/+XOL3GjVqYMSIEXB2dkbLli1/6l7y5NmzZ9yH38nJCXfv3lWyRHxycnJw5MgRbNiwAa9fv+b91rRpUyxYsADDhg1T+MBKRHj79i3P3SokJIRzjyyIRo0a8Sb0LVq0gJqa2g/LIRQK8eTJE54cr169kllHXV0dlpaWnAuUg4MD6tevr/AJc15eHk6cOIH169dL9BlTU1MsWLAAzs7OJepe+iM4OTnBy8sLwNf+Y2FhoVyBviE0NBRHjx7FsWPHpCrCTZs2hbOzM0aMGPHTrmcJCQm873H+v2/evCmWu1OtWrWkujvVqlWrxN7JuLg4eHl5cWPdy5cvCzxXW1sbbdu25cY6a2trpU7kfXx84OLighcvXnBl1tbWOHz4MJo3b640uaSRm5uLnj174vbt2wCAOnXq4NGjR6hbt66SJSvHKM2WUgFISEjguQTY2NhQamqqssUqkLy8PPrrr794WZ4FAgHNmTNHqW4035KdnU3379+nlStXUseOHaVmpP72aNasGU2dOpUuXLigsFC2ycnJ5OfnR0eOHKGFCxdSv379yNzcXGLzaGFHtWrVqF27djRu3DjavHkzXb16lV6/fi3T/SUtLY08PDzol19+kbppTktLi4YOHUrXr18vNBO2sli3bh0n79atW5UtToHk5eXRyZMnJYIrAF+z1O7YsUPp/SYzM5O8vb1p06ZNNHDgQKpVq1ah752Ojg517NiRFi5cSBcvXiw0bn5sbCxdvHiRFixYQB07dixSDoDatWvToEGDaNOmTfTw4UOlP6eMjAzasWOH1GAIrVq1olOnTpUatzNpbNmyhZN3/fr1yhZHKnl5eXTt2jUaOnQoz43427Hml19+IQ8PD5mhcoVCIb1+/ZquXr1KmzZtonHjxlG7du2oWrVqxfq+qqmpkbm5OfXr148WLlxIR44cIT8/P4VFdEtISKDz58/T1KlTC8xPlH9oaGhQp06daOXKlXT//v0f2jBeEmRkZNDs2bN5Y42GhgatXbu21I4vRF9z7VhbW3MyW1hY/FDiQUbRYBaNEiIjIwNdunThNtmamZnB29u7xFbY5cmzZ8/g4uICf39/rszMzAxubm5o166dEiWTJCsrCz4+PpyJ2d/fv8AVXIFAgFatWnFuVh06dICenp7CZM3NzUVUVJRUN6y0tLQiX0dLSwuNGzfmVtkaN26MjIwMeHl54dKlS8jIyJCo06FDBzg7O2PQoEEKbfOP0LZtWzx69AgA8OrVK5iamipZItkQEa5fv461a9fC29ub91v16tUxc+ZMTJ48uVS4fwFfN7nnWxp8fX0RFBSE3NxcmXVMTEzg6OgIW1tbVK1aFYmJifD394evr69Mlw4A0NDQgLW1NWetcHR0LJFN0z9CcnIydu/ejW3btiE+Pp73W7t27bBo0SJ0795d6a5IhfHq1SuYmZkB+Np/vn8PSxspKSk4d+4cPDw8cP/+fYnfK1WqhP79+6N9+/bQ1dXFy5cvuW/ly5cvi+XuVLly5QLdnRRpBUhJScH9+/e5zduhoaEFWlnU1NRgb2/PjVWOjo4l7mJbXLy9veHq6orIyEiuzM7ODu7u7mjatKkSJSsacXFxaNu2LWdtdXBwwO3bt1GpUiUlS1YOUa6eUz7Jzc2lHj16cNpyjRo1KCoqStliFYu8vDxav349L0mTQCCgGTNmlOrETGlpafTff//RggULyM7OTmaYUBUVFbK1taX58+fTf//9p7SMzGKxmGJiYuj27du0c+dOmjJlCnXp0qXQHCSFHdWrVydXV9cSC11cEsTFxXGrYxYWFsoWp9jcv3+funfvLvG3qFKlCi1cuPCnsuqWFNnZ2eTr60tbt26lIUOGFBjiuKhHvXr1aMiQIbR161by9fUtNauv3xIbG0sLFiygKlWqSMjfo0cPevDggbJFLDb51nMVFRWFblD/GcRiMfn7+5Orq2ux8018f9SuXZu6dOlCU6dOpZ07d9Lt27fpw4cPSkvQlpaWRtevX6f58+eTra1toWORnZ0dLViwQKljUVFIT0+nGTNm8KwYmpqatGHDhlJtxZBGVFQUL/lvz549fzr5LEMSpmjIGbFYTM7OzrwJhjyjLSia58+fk4ODA++jaGpqSvfu3VO2aEUiOTmZ/v33X5o9ezZZWlrKjMGtpqZGbdq0oSVLltDt27eV7s5BRJSSkkL+/v7k4eFBixYtop49e5KxsXGRYup/e1SrVo3atm1LY8eOpU2bNtGVK1fo1atXpc4d5PDhw5zM8+fPV7Y4P0xISAgNGTJEYnKhpaVFkydPlntSLHmQnZ1NPj4+tHXrVurdu3exI+8YGhpSnz59SrWCERUVRZMmTZLIcq2iokJDhw4t09/qefPmce05cuSIssXhIRQK6dWrV3TlyhXauHEjjR07ltq2bUtVq1YttkJhbGxMPXr0oEWLFpGHhwf5+/vLNTHhj5KZmUm3b9+mJUuWUJs2bWS6ygoEArK0tKTZs2fTv//+W2YScHp5eVHDhg15bXF0dKTnz58rW7QfJiQkhLfgMHr0aJY9XM4wRUPOzJ8/n6fle3l5KVukn0YoFNLmzZsl/GqnTp1aqldepPHlyxe6cOECTZs2TSKR0PeHhoYGdezYkVasWEH37t1T2sQpJyeHLly4QP369ZMaklYgEFCdOnWoUaNGUldoZR2amprUokULGjx4MC1btoxOnDhBISEhlJGRoZS2DhgwgJOtPIQejIyMpPHjx0vsJVJVVaWRI0dSeHi40mR79+4dnT59mmbNmkUODg6F7nfKV1jr169fJH94DQ0NcnR0pFmzZtGZM2fo3bt3SmtreHg4jRw5UiLsqoaGBo0fP54iIyOVJpu8ePDgAdeugQMHKkWGjIwMCgkJoRMnTtCyZcvo999/pxYtWkgodoUdlStXpkaNGlGdOnWkWgLU1dWpX79+dOHCBaWFys3OzqZ79+7RihUrirRfsHnz5jRt2jT6559/FLZfUF6kpaXRlClTJBZNNm/eXOoWq34ET09P3t9vwYIFyhapXMH2aMiRLVu2YM6cOQC+7gc4d+4cBgwYoGSp5MfLly/h6uqKhw8fcmUmJiY4dOgQnJyclCjZjxMXF4d79+5xkT6+jZrxPfmRPvL9Zm1sbErMx5eIEBAQwIWkTUxMlDjH0tISo0ePxrBhw7i9P0SET58+SewBiYiIQExMTLFkqF+/vtRoWNWrVy8Rn/WcnBwYGhoiPT0dhoaGiI2NVXiIxpLiw4cP2Lp1K/bu3Suxh6Zv375YtGgR7O3tS+z+WVlZCA4O5vZl+Pr6cpHwCkJHRwd2dna8BIDGxsbc758/f+aFrA0ICOAlNpRG7dq1eZGlrK2tSzSEtq+vL9auXYvLly/zyitVqoQ//vgDs2fPlntIbGUhEolgbGyML1++QFdXFwkJCSUSHYuIEB8fL/F9ef78Od6+fVusa9WpU0fi+2JhYYEaNWpw35i4uDguVG5ISIjENapWrcqFyrW1tS2x/TR5eXkIDAzk9gM+evRIZgTEJk2acFGhOnbsWCb2Z0rj7t27GDt2LN68ecOVtWvXDm5ubty+oPLA+fPn8fvvv3P7ZrZs2YJZs2YpWapygjK1nPLEt0mTANCePXuULVKJIBQKadu2baStrc1r76RJk0p1RK2i8uHDBzp+/DiNHTtWwkT8/aGrq0vdunWjDRs2UEBAgFxWdt6+fUtr1qyhJk2aSL1nzZo1ad68eRQWFlbsa6emplJAQAB5eHjQ4sWLacCAAWRhYVHsaFhVq1alNm3akKurK23cuJH+/fdfioyM/On2//fff9w9nJ2df+papZWEhARasWKFVJcRJycnunnz5k+b7cViMUVHR9OJEydo+vTpZGtrK9US9v1hZmZGo0aNot27d1NwcHCx/a3z8vIoODiYdu/eTaNGjSIzM7NC76murk62trY0ffp0OnHiBEVHR8ul/Tdu3KBOnTpJfXdXrlxZ5laUi8qoUaO4tt64ceOnriUUCikyMpL+/fdf2rhxI7m6ulKbNm2kJq6UdaipqZGFhQUNGDCAFi9eTEePHqWAgIAfGi/CwsJo3rx5VLNmTan3atKkCa1Zs4bevn37U23Pb39AQACtX7+eunXrRrq6ujLb2bBhQxo3bhwdP36cPnz48NP3Vzapqan0xx9/8Nqora1N27dvLzUJaOXNnj17eO09duyYskUqFzBFQw78999/vMna8uXLlS1SiRMZGUkdOnTgdcr69evTrVu3lC2aXHn79i0dPnyYnJ2dqW7dujIHGj09Perduzdt3bqVHj9+XOSPcWpqKh0+fJicnJyk7r3Q1tamESNG0I0bN0rETJ2bm0svXrygixcv0rp162j06NFkb29fbDcsDQ0Nat68Of3+++/0559/0vHjxyk4OLjIwQMmT57MXevcuXNyb2dpIi0tjbZs2SJ1w7+1tTWdO3euyO9Peno63bt3j9atW0f9+vUjY2PjQv9Wurq61KVLF1qyZAlduXKlxDYPx8fH05UrV2jJkiXUpUuXQidrwNfgGf369aN169bRvXv3iuzGJxQK6ezZs7ywlflH7dq1acuWLWXO1bO4nD17lmvzlClTilQnPT2dgoOD6fjx4/Tnn3/SoEGDqHnz5kVypfv2qFKlCtnb29OYMWNo3bp1dPHiRXrx4kWJbK4VCoX033//0fDhwyUWvYCv7qSdO3emw4cPF/lvLhKJKCQkhLZs2UK9e/cmPT09me2tW7cujR49mg4fPiwXxaY0cevWLYmgEB07dqRXr14pW7QSZ9myZTwl+WcVdgZTNH4af39/qlSpEvdiTpw4scJsJBKJRLRjxw5e+wHQ+PHjS8XmPHkjFovp1atXdODAARo+fDgvWoW0o1q1ajRgwADasWMHPX36lPdeCIVCunnzJo0cObLAvAOdOnUiNzc3pT1LsVhMHz9+pLt379Lu3btp2rRp9Ouvv1KdOnWKNQEBvkYi+u2332jGjBm0d+9e8vLyotjYWO6ZiMViTpHT0NAoF9axopCdnU0HDx6UuvrfpEkTcnNz4/mgi8ViioyMpKNHj9LkyZPJyspKYt+BtMPc3JxcXFxo3759FBYWpjS/aqFQSGFhYbRv3z4aM2YML89QQYeqqipZWVnR5MmT6ejRo/Tq1SteX8rJySE3NzepVkAzMzM6ePBgqdyYXhKkpKRw1qt69erx+ldsbCx5eXnRnj17aMaMGfTbb7/9UISxunXr0q+//krTpk2j3bt30927d+nTp09KG/dSUlLIzc2NOnbsKFVeHR0dGjVqFN26dYv33ovFYgoPD6cdO3bQgAEDCt13VLNmTRo+fDgdOHBA4h0sLyQnJ9P48eN57a5UqRLt3Lmz3FoxvkcsFtOECRN47ff391e2WGUatkfjJ3j58iXatm2LhIQEAMCAAQNw5syZcuNXXlSioqIwbtw4eHp6cmV169bFgQMH8NtvvylRspKFiPDixQsuLrqnpyf3LkjD2NgYVlZWEIvFCAkJQVxcnMQ5ZmZmcHZ2xsiRI9GgQYMSlP7nSEtL48W2z/fRjoyMRF5eXpGvY2BgAHNzcxgZGeHSpUsAvvr/enp6/lR26rKGSCTChQsXsHbtWgk/dCMjI9ja2kIkEiEwMFDmOwYAenp6sLe35/ZB2Nvbw8DAoCTF/ynyc3Lk7x/x8/NDSkqKzDrVq1fn/PH9/PwknomlpSUWLVqEAQMGVKjvsVAoRKdOnbh9dH379kVcXBwiIiKQlJRU5Ouoq6vDzMxMIvdEkyZNoKurW1Li/zRv3rzBsWPH4OHhwcvvkI+xsTFat24NgUCAkJAQqZnK86levTo6derE7clr0qRJqc+n8jP8999/GD9+PG8vn5OTEw4dOgQTExMlSqZ4RCIRfv/9d/zzzz8AAENDQzx8+BCNGzdWsmRlE6Zo/CAfP35EmzZtuM1vHTp0wI0bN0p0Y2NpRiwWY//+/Zg3bx7S09O5cldXV2zevLnUJCsrScRiMZ4+fcopHffu3SvS4K6jo4P+/ftj6tSpsLe3L9ODmVAoRFRUlMRm9OfPnxc6efwWDQ0N3kQnf7LTpEmTcptQKV9xPXDgAE6ePIlPnz4VWkcgEKBp06acUuHo6Ahzc3OoqKgoQOKSQSwWIyIiglM8fHx88OzZswKTm31LzZo1MXz4cIwbN65cTwwzMjLw4sULXv+KiIhAZGRkockXv0VPTw8WFhYS/czExKRMK/pEBD8/P+zcuRP//PNPoUEKgK+LHh07doSTkxM6d+6Mpk2blul+VFSSk5Mxe/ZsuLu7c2W6urrYuHEjJkyYUCGegTSys7Px22+/cQklGzRogEePHqFmzZpKlqzswRSNHyA5ORkdO3ZEWFgYAKBly5a4d+9ehZhMF8bbt28xbtw43L59myurXbs29u/fjx49eihRMsWSk5ODS5cuYdeuXfD29oZYLC60ToMGDbjVMycnp1KTPVkeEBE+f/4sVQF5//59sa5Vr149iUg15ubmMDY2LlMTy5SUFC67dv6kuiiKqaqqKhwcHDB16lR079691Gd6lwcpKSm4fv06du7cCV9fX4hEokLrVK1alWfZsbOzK1PPivWZ4hMTE8Mt9Ny9e7dIUbBUVFTQvn17TJkyBX369CmRSF2llatXr2LChAn4+PEjV/bLL7/g4MGDqF+/vhIlKx0kJyejQ4cOePLkCYCvc7379++Xqe9IaYApGsVEmpb78OHDchMiUR4QEQ4ePIg5c+YgLS2NKx89ejS2bt1aqt04fob8VbQjR47g9OnTUieN5ubmMDMzQ1paGvz9/WWutJmZmfEUj29Di5YnXr16xYVJNDIyQocOHTg3rOKszurr60tMpErL6uyPrNKrqKigRYsWMDMzQ0xMDPz9/XkKq6amJsaMGYP58+ejYcOGimiGUnj9+jU2btwId3d33vsgEAhgb2+PunXr4sWLFwgPD5ep0JdW609BVsCIiAgkJycX+TrfWgHv37/PuWa+evUKpqamJSS9comNjYWXlxenWLx69arAc/PDNVeuXBmRkZGIiIiQOMfAwABDhw6Fs7NzmbcuyyIpKQkzZ86Eh4cHV1a5cmVs2bIFY8eOLbft/hG+917p2LEj/vvvvwrrvfJDKHxXSBlGKBRS//79uU1ChoaG9OLFC2WLVWp5+/Yt/fbbbxIb6i5fvqxs0eRKdHQ0rV69usBwnrVr16YFCxZIJGfLyckhb29vWr16NTk5ORWa1MrCwoKmTJlC586dK7EoQcrgwIEDXBuXLFnClefl5dHLly/p8uXLtGHDBnJxcSFHR0fS19cv1uZVdXV1atq0KQ0cOJCWLFlCR48epcDAwBKNQJSYmEjXr1+nZcuWUdeuXQuNYJP/PenduzetWbOG7t69K7Eh/vXr1/THH39IzWo9bNgwCg0NLbH2KIPQ0FAaNmyYRMI2TU1N+uOPP+j169e881NTU+nOnTu0Zs0a6tWrV5Eym+vp6VHXrl1p2bJldP36dUpMTCyx9qSlpVFgYCAdPXqUlixZQgMHDqSmTZsWKfTwt4e+vj45OjqSi4sLbdiwgS5fvkyRkZG8cMSLFy/mzj948GCJtUnRxMfH07lz52jy5MlkYWEh8zlpampS586dafXq1eTt7S2R2C88PJwWLFggNfIb/i+QwOrVq+nNmzdKam3JcOnSJYnwwN26dVNqQs3SzosXL3jfkwEDBpSLRIWKgikaRYRFIvgxxGIxHTp0SGKiNWLECEpISFC2eD9MfqQTabH6ISPSiSyysrLI09OTli1bRu3atSt0AtKyZUuaMWMGXbp0iZKSkkq2wSVI7969uTb5+fkVen5JR9D5+PFjsSLKCIVCCg0N/aFISlOmTJEaSUkWHz9+pHnz5kkNFdurVy96+PBhkWUvjXh7e1PPnj0l2la5cmWaP38+ffz4sUjXUUaELnlGaqtfv77MSG2y8PX15a7Tp0+fIstf2khKSqKLFy/SjBkzqGXLloUuKLRv356WLVtGnp6elJWVVaR7lIUIgPIgISGBRowYIaFou7m5lcsIWvLGz8+vwkYY/VmY61QRWbFiBVauXAkAUFNTw9WrV9G1a1clS1V2iImJwcSJE3Ht2jWuzNjYGHv37kW/fv2UJ1gxEIlEuH37Njw8PPDPP/9IZIUVCARwcnKCs7MzBgwYgMqVK//U/TIyMvDo0SPOLSAwMLBA33QVFRVYWlpyGxnbtWv30/dXBFlZWahWrRqysrJQo0YNfPjw4adcWTIyMnjRsPL/ffnyZbE3yUpzw2rYsCGSk5N5GbH9/f15ARCkYWxsDEdHR85tx8bGBjo6Oj/cTuCr+8OuXbuwfft2iahLHTp0wKJFi/Dbb7+VCTcIIsKNGzfw119/4cGDB7zfDA0NMXPmTEyePPmn3S4zMjIQFBTEc2GTFXkI+OpS8n2GdH19fURFRUm8ZxEREcUOetC4cWOJ96xx48Y/FfRALBajVq1a+Pz5M7S1tfHlyxdoa2v/8PUURVpaGh48eMDtswgJCSnQHU5VVRW2traca2mbNm1+OlBEWloaLly4AA8PD3h6ekq4Nmpra6N///4YPXo0unTpUmYimv3zzz+YNGkS713v2bMn9u3bh9q1aytRsrLFjRs30KtXLwiFQgBf54XLly9XslRlAOXqOWWD3bt381YBjh8/rmyRyiRisZiOHDki4foydOjQUu0K9OTJk0Kz0f71118lnrQpJSWFrl69SnPnziVra2upyf3yD1VVVXJwcKBFixbRzZs3i5z0TNH8+++/nMxjx44tsfvIK8txUQ41NTW5Z7uWRXp6Om3fvl1qQklLS0s6ffp0qTXzC4VCOn36NFlaWkq1Nm3fvr1E311pWdS/Tb4qr8PAwIDatGlDrq6utHHjRvr333/p1atXJfp3cXV15e5/5cqVErvPz5CRkUE3b96kRYsWkYODg0yLk0AgIGtra5o7dy5dvXq1xHPtvH37ltasWSM1Pwvw1Q143rx59OTJkxKV42eIi4ujIUOG8OTW19enI0eOsNX4H+TYsWO857lnzx5li1TqYYpGIZw7d443oduyZYuyRSrzfPjwgecuA4CqV69OZ8+eVbZoHJ8/f6atW7dKnQABoKpVq9KUKVPIz89PaR/sxMTEEncrKGm+dUe8dOmSwu8vFovp8+fPdO/ePdq7dy9NmDCBrKysip0VHf/nhmBjY0N//PEH7dq1i+7cuVNsN6yfIScnh9zd3WUmrvveT11ZZGdn04EDB6TuazI3Nyd3d3eFySoWi+nDhw90584d2rVrF/3xxx9kY2PzQ+9AlSpVyNLSkiZMmED79u2je/fu0efPn5Xyjbh48SIn18SJExV+f2l86x7avn37IruHXrx4sUT3z8hCLBaTn58fTZkyhapWrSpVTisrK9q2bRt9/vxZKTJK4+zZs1S9enWenH369Cmy6yGjYDZv3sxTgM+fP69skUo1TNGQgaenJ2loaHAv1Pz585UtUrlBLBbTsWPHJD7cv//+u9I+1llZWXTmzBnq1auX1JU1dXV16tevH124cKHUTNi+JS4ujs6ePVukjZJaWloyN0oqApFIxFmJtLS0FG51yc3NpYCAAPr7779p+PDhZGJiUuhEUiAQyLQkFTT5tLOzo9GjR9PatWvpn3/+oYiICMrNzS2RdgmFQjp37hxZW1tLyFK7dm3asmVLiW6El0VaWhpt3rxZ6gZcGxsbOn/+fIllIM7NzaWIiAj6559/aO3atTR69Giys7MrtkJR1HegYcOGNHz4cNqxYwcFBASU2N+7INLT07nAAbVq1VKKsvN9wAstLS2Zz8zCwoImT55cagNeZGdn04ULF6hfv35SlSRVVVXq1asXnTlzRmmLOZ8/f6ZBgwbx5KpatSodP36cWTHkyLx587jnq6mpSV5eXsoWqdTCFI0CePz4MW8AGj16NOukJcCnT5+oX79+vI+ioaEhnTp1SiHPWywW08OHD2nChAkFRgays7OjnTt3lsqBTxYfP36kEydO0Pjx46lRo0YyB3gdHR367bffaN26deTn58eLYFNSBAQEcPfv2bNnid/vw4cPdP78eZo7dy61a9eu0EkPAKpXrx4NGTKEtm7dSr6+vpSdnU1CoZBevXpFV65coU2bNtHYsWOpbdu2Ba52FnSoq6uThYUF9e/fnxYtWkQeHh7k7+8vtw2nYrGYbt68SU5OThL3rlq1Kq1YsYK+fPkil3sVRkJCAi1fvlzqM+rcuTPdunVLbv09JSWF/P396ciRI7Ro0SLq378/mZubF9slqmrVqtS2bVsaO3Ysbdq0ia5cucK5O2VnZ5OPjw9t3bqVBg8eXKRABFpaWtSuXTuaN28enT9/XiEryz169ODuHxgYWOL3y8vLIz8/P1q3bh117dq1wM3V+UejRo1owoQJdPLkSfr06VOJyydP4uPjaefOnWRrayu1bfr6+jRx4kR6+PChwsayU6dOUbVq1Xhy9O/fv8w927KASCQiZ2dn3oLS48ePlS1WqYQpGlKIioqiGjVqcC9Qjx49FL4aVZEQi8V08uRJiQ/kgAEDKDY2tkTuGRUVRStXriRTU1Opg0TdunVp8eLF9Pz58xK5vzJ49+4deXh40JgxY6h+/foyJwBVqlShXr160ebNmyk4OLhEVpmXLVvG3W/v3r1yvXZ2djb5+vrS1q1baciQIT80Efzw4UOx7ikWiykuLo7u379P+/bto1mzZlG3bt2oQYMGxbaC1K5dm7p06UJTpkyhnTt30u3bt+nDhw8/PGHx9fWlvn37StynUqVKNHv2bIqJifmh6xZGTEwMzZ49mxetJf/o168f+fr6/tB1xWIxxcTE0O3bt2nnzp00ZcoU6tKlS4GhSgs6BAIBNWjQgLp3706zZs2iffv20f379ykuLq7YMslLkZUne/bs4e61fPlyuV6b6OtkKzg4mDZt2kQ9e/Ys1DpUv359cnFxIQ8PD3r//r3c5VEWz549o0WLFhUYXczU1JRWrlxJUVFRJXL/T58+8ULvA4pdsKuo5ObmUvfu3blnXqNGjRL7G5dlWNSp74iLi0Pbtm25xD8ODg64ffv2T0ezYBROXFwcpkyZgnPnznFlVatWxY4dOzBs2LCfjp6TkpKCs2fPwsPDQyKyDQBUqlQJgwYNgrOzMzp16qT0RF4lTXR0NC+L7rfZYb/HwMAAHTt2ROfOneHk5IRmzZr99N/D0tISjx8/BvA1KtnPRD95//49L8N2UFBQoVGmTExMeMnbWrZsCQ0NjR+WQRaZmZl4+fKlRFK2Fy9eICcnp8jXqVy5stRoWKamplBXVy+0/tOnT7F+/XqcOHGCF8FMQ0MDzs7OmD9/Ppc88WeIjIzEhg0bcOTIEeTl5XHlqqqqGD58OBYsWIBmzZoVep28vDy8fv2aF9Up/7+/TQZaGJqammjSpAnv2VlYWMDMzOyno38VRG5uLsLCwngRrqKjowuV08rKinsnHRwcULdu3R+WISYmhqtvaWmJ4ODgH74WABARnj59irt378LT0xP37t2Tmc2+du3avKSjJiYmP3X/0o5YLIaXlxeOHDmC8+fPIyMjQ+KcDh06wNnZGYMGDfrpDNNEhBMnTmD69OlITEzkyn///Xfs3LkTRkZGP3V9RuFkZGSgS5cu8PPzA/A10e7Dhw9RvXp1JUtWemCKxjekpaWhc+fOCAwMBPA1i7O3tzeqVaumZMkqFmfPnsWUKVMQHx/PlfXp0wd79+5FzZo1i3UtoVCIW7duwcPDAxcvXkR2djbvd4FAgC5dunAhaSuqQklEiIyM5BQPT09PLrOwNKpXr45OnTpx4XQbN25cLMXj/fv3qFevHgDA2tqa63NFITs7G0FBQTzF4sOHDzLr6OjowNbWlpu8OTg4lIpM6yKRCG/fvpUIkfr8+XN8+fKlyNdRU1NDo0aNeMpH/n9XqVJF4vw3b95g48aNcHNz4/UJFRUV/P7771i4cCFat25d7PY8fvwYa9euxblz53hhSbW0tDB27FjMnTsXDRo0kKiXmpoqoUg8f/4cr1+/5kJJFoVq1arxFIn8Z1C/fv1SEYr08+fPvNDIAQEByMzMlFmndu3aPMXD2tq6WFmJra2tOQXj/fv3qFOnTpHrEhFevHjBfRO8vLx43+XvMTIy4ikWZmZmZSK8ckmQnp6Of/75Bx4eHrhz545EqFwtLS3069cPo0ePxi+//AI1NbViXf/Tp0/4448/cPnyZa6sevXq2L17NwYNGiSXNjCKxpcvX9CuXTsu27yNjQ08PT2hq6urZMlKCUqzpZQycnJy6Ndff+W5LpR0uFJGwcTFxdHQoUMlfF49PDyKZAoODQ2lOXPm8Fzgvj0sLCxo3bp15cp8L0/EYjGFh4fTjh07aMCAAYXuP6hZsyYNHz6cDhw4UKTkc9+GjF6xYoVMOb4PP1qUTMpmZmY0atQo2r17NwUHBytkz4m8iY+PpwcPHtD+/ftp9uzZ1L17dzIxMSm2G1atWrWoc+fONGXKFNqxYwfdunWLYmJiuMSHCxculOry0r17d7p//36RZL1//z5169ZNqgveokWLuERzMTExdOvWLdqxYwdNnjyZOnfuTLVq1Sq2u5OJiQn16NGDZs+eTfv376cHDx6UuT1URF/3NAQHB9Pu3btp1KhRUqNwfX+oq6tz4ZNPnjxZaPjk5cuXc3ULC8UpFovp1atXdODAARo+fHiBIb3zj6pVq9KAAQNox44dFB4eztx0CuD9+/e0bt26AoN01KhRg+bMmUOhoaGFXqushokv77x9+5bnutm1a9dSGTRGGTCLBr6aO0eOHImTJ08CAPT19eHt7V0k0z6jZLlw4QImTZrEW10vKNFQbGwsTpw4AQ8PD4SGhkpcq1q1ahg+fDicnZ1hbW1dYVfafgSxWIywsDBuZfPevXtITU0t8Px69erxVjbzrRf5dO/eHf/99x8AIDg4GJaWlgC+uhgFBgZylgpfX1/ExsbKlE1XVxf29va8hGqGhoY/2eLSS1ZWVoFuWN9b7GShq6vLrfw3aNAAUVFRuHbtmoQrTNu2bbFo0SL06NGD12eICNeuXcPatWvx8OFDXp1q1aqhW7duaNiwId68ecPJWFhiw2/R0tIq0N2pLCSf+1ESEhKKnRCyRo0aPKvHtwkhg4ODYW1tDeBrv/s2aSoAvHv3judC+f79+wLvU6VKFXTs2JHr1y1btiz3LqbyhIgQFBQEDw8PnDhxQqrVslWrVhg9ejSGDRuGGjVq8H778OEDJkyYIJH4ds+ePejfv3+Jy8+QTXh4ONq3b4/k5GQAwPDhw3H06FHWR5Sr5ygfsVhMM2bM4LRQLS0t8vb2VrZYjG9ISEigESNG8FZv9PT0yM3NjTIyMujUqVPUvXt3qSFpNTQ0aODAgXTp0iW2uiBH8vLyyN/fn9avX0/dunWTutn328PU1JTGjRtHx48fp8jISC5sdI0aNcjDw4MmT55MVlZWMhN25R/m5uY0ZswY2rdvH4WFhZXaZHSKRiQSUVRUFF27do02b95M48ePp/bt25OhoWGxLAYqKipSIzQ1a9aMTp48SVlZWXTixAlq1qyZxDlqamrFtrgYGhpS+/btafz48bRlyxa6du0aRUVFlViY27KGUCik0NBQ2rdvH40ZM4bMzc0LfaaqqqpkZWVFU6ZMIQ8PDzI2NibgaxjOV69e0fHjx2ns2LHUsGFDmdepVKkSdevWjdavX08BAQGsr8mRnJwcunjxIg0YMKDAULk9evSgU6dOUUZGBrm5uUlERhw5ciQlJCQouymMb3jw4AEvEMTMmTMrvKWvwls01q9fj4ULFwL46p/8zz//oE+fPkqWiiGNy5cvY+LEibwVblVVVd6m1nwcHBzg7OyMIUOGoGrVqooUs0KSl5eHwMBAbpPow4cPi7W6XhB6eno8a4WdnR37e/4ACQkJePHiBW//Q0REBKKjoyV8x0sCgUAAExMTiU3sTZo0KdfWp5IiMTER/v7+nOXPz88PKSkpP31dLS0ttG3blgv6YGNjU6QgA4yf48uXLzhz5gw8PDzg6+sr8buamhpvr1LNmjWxd+9eNlcppVy+fBn9+/fn9qmtX78e8+fPV7JUyqNCKxqHDx+Gi4sL9/8HDx7E2LFjlSgRQxavX7/G/v37sXv3bqmuBHXr1oWzszOcnZ3RuHFjJUjIyCc7Oxvnzp3DuXPn4O/vj9jY2CJNaOvWrYtOnTqhY8eOcHR0hLm5OTM7lyBZWVmIjIxEeHg4Hj16hMePHyMqKgpxcXFSFfjCUFVVRfXq1WFqaorWrVujTZs2aN68ORo3blysDcyM4iEWixEREQEfHx/cu3cPXl5eMl2g8hEIBKhRowbs7e0xcOBADBo0iP2dlMyLFy9w9OhRHD16FO/evZP4XVdXF5MnT8aECRNgamqqBAkZReHgwYMYP3489/+HDx/G6NGjlSiR8qiwisbVq1fRt29fbjBds2YNFi9erGSpGN+TnJzMrfR87wf+Pb/88gsOHjyI+vXrK0g6Rj4pKSnw9/fn/Mr9/Px44RaLg0AgQOvWrblV1fbt20uNnMQoPsnJyRJ7OyIiIvD69esfUiwKQ1VVFaamphJRoMzNzaGvry/3+1VEUlNTcf/+fW6fxePHj3/YSlW1alUuKlu+BZH1PcXz9u1bjBs3Drdv35Z5Xtu2bTF69Gj8/vvvrD+VQtasWYOlS5cC+PotvHTpEnr27KlkqRRPhVQ0fHx80KVLF2RlZQEApk2bhu3bt7PNwaWEvLw83Lx5Ex4eHrh06ZJEngEVFRX88ssvGDRoELy9veHh4cH9pquri02bNmHChAns71lCfLt6mq9YPHv2TObkRkVFBc2bN4eJiQkuXboEAHB0dET79u3h6emJoKAgXjjUb1FVVYW1tTUXSrdt27YVNgxxUSAixMTESM09UdjGelkIBAJ06NAB3bt3x/Xr13Hv3r2fkrNGjRoSG73Nzc1Rp04d1ndlkJGRAW9vb06xCAoKKlBJVFFR4frO/fv3Obecfv36ISoqCuHh4QX2O+Dr37xZs2a8jebMylhyiMVi7N+/H/PmzeNZ7UeNGoV27drh/PnzuH37tsTfTFNTE3379oWzszN+++23YofKZZQMRITp06dj586dAABtbW3cvXsXDg4OSpZMwShjY4gyefr0KRkYGHAbdQYPHsw2HZYCxGIxhYSE0MyZM8nIyEjqxsRmzZrRhg0bJLIYX79+XSIja+fOnVmGTjmRmJhI169fp2XLllHXrl0lNiRKOwwNDalXr160Zs0aunPnDqWmphIR0aJFi7hzDh06xN0jOTmZLl++TLNmzaLWrVvLvLa6ujq1bduWli5dSnfu3KHMzExlPRqlkp2dTeHh4XTu3DlavXo1jRgxgqytrQvdmP/9oa2tTZaWltSzZ0+ytLSU2JCvpqZGY8aMoefPn/Pu/+zZMxozZozExnFVVVXe9bS1tYslT6VKlcja2ppGjBhBq1evpnPnzlF4eLjcs2aXFTIzM+nOnTu0dOlSatu2rczwzgKBgFq3bk2zZs2iy5cvU3JyMnedgwcPcuctXryYiIhSU1Ppzp07tGbNGurVq1eRAgfo6elR165dafny5XT9+nVKTExU1qMpV0RFRZGTkxPvWdepU4euX7/OOy8mJobWr19PTZs2lfr3MTIyolmzZlFISEiF34RcGhAKhTR48GDu71O1alV69uyZssVSKBXKovH+/Xu0adMGMTExAIAuXbrg6tWr0NTUVLJkFZePHz9yIWmfPHki8Xv16tW5kLSWlpYFrnSmpKRg3rx5OHDgAFdWqVIlrF+/HpMmTWIrcEVEJBLh2bNnPGtFfhKiglBVVUWrVq14q56mpqZS/1bNmzfH06dPIRAI8OnTpwKT5n358gX37t3jVm2fPn1a4P01NTXh6OjIhdy0t7cvsQzfyiApKUmqu1NUVFSx3J2MjIwkNmObm5sjLi4O69evx4ULF3hWKW1tbYwfPx5z5syRCE/8Le/evcOmTZtw8OBBzkoMfF0NHzhwIBYsWIDq1atLTUooKynk96iqqqJhw4ZSM6OXJ7eR3Nxc+Pn5ce++j4+PzOzxzZo14979jh07Fphg9vPnz6hZsyaICM2bN5f6vSUivH79mpcMMzQ0tND3zNzcnOv7jo6OaNq0aalIkFgWEIvF2LNnDxYsWMDLJD5hwgRs3LixQNc1IkJISAgXKldaIsUWLVrA2dkZI0aMKHayW4b8yMnJQY8ePXD37l0AX/ciPnr0qFjJM8syFUbRSExMRPv27fHs2TMAgJWVFTw9PZn/qRLIzMzEpUuXcOTIEdy6dUvCDKyhocEzAxcn6smtW7cwbtw43ia6jh074tChQ2zjnBQSEhLg5+fHTSr8/f2RlpYms46xsTFvUmFtbV0kV6bo6Gg0bNgQwNeoYD4+PkWW8/Pnz/Dy8uImXy9fvizwXG1tbbRr146bfNnY2JR6VwKxWFygu9Pnz5+LfB0VFRWJyXh+dKdvo3UREe7du4e1a9fi5s2bvGvo6elh2rRpmD59OqpXr17ke8fHx2P79u3YuXOnRASkrl27YtGiRejYsSNPAU1MTOTa+22bo6KiZLr0fI+xsXGBblilfZFBKBQiMDCQy2Px8OFDnsL2PY0bN+be7U6dOhUrw72DgwP8/PwAfO2P0rK0f09GRgaCgoJ4iw+FvZOVK1eGnZ1dhclt86O8fv0aY8eO5bkh1qtXDwcPHsSvv/5a5Ovk5eXhxo0bOHLkCC5fvozc3Fze7yoqKujatSucnZ3Rt29fLscKQ3GkpqaiU6dOCAkJAQA0bdoUDx48qBhRFJVmS1EgGRkZ1KZNG850ZWpqSrGxscoWq0IhEonIy8uLXF1dqXLlylJNvm3atKG9e/f+tCk+NTWV/vjjD961dXR0aPv27RXaTe5HshCrqalxWYhPnDhRaBZiWWzfvp277po1a36qLTExMXT06FFydXUlExMTmW3Q1dWlHj160MaNGykwMFCpuQCys7PpyZMndPbsWVq1ahUNHz6crKysSEdHp1juRTo6OmRlZUXDhw+n1atX09mzZ+nJkyeFuheJRCK6dOkSOTg4SFzT2NiY1q9fTykpKT/VxpSUFFq/fj2Xu+Hbw8HBgS5dulRoPyyJ57Rq1aoiP6eSRCgUUmBgIG3YsIG6d+9Ourq6MttgYmJCrq6udOzYMQm30eLyv//9j7vu33///UPXEIvFFB0dTSdOnKBp06aRra2t1Lwr3x9mZmY0atQo2r17N4WEhFBeXt5PtaUsIxKJaNu2bRLv86RJkzg30x8lMTGR9u7dy5vzfHtUrlyZXF1d6d69exV6PFQGsbGxZGpqyv0t2rZtSxkZGcoWq8Qp9xYNoVCI/v3748qVKwC+rnw9fPiQrW4riMjISC5U35s3byR+b9CgAZydnTFy5EiYmZnJ9d53797F2LFjefdt3749Dh06JPd7lUbi4uJ4q5ABAQHIzMyUWadWrVpwdHTkLBZWVlZyy8L866+/clFUnjx5gubNm8vlusDXKC35K8Kenp6ce6Q09PX10aFDBy6qVfPmzeW+6p2UlCSRs+JHV+qluTsVd6VeKBTi1KlTWLdunYQbmomJCebPn48xY8bINbRpdnY23N3dsXHjRkRHR/N+a968ORYuXIghQ4YUy9qUb/n59rnKy/KT/98GBgZFvk5RZQ4PD+fezfv373OZg6VRp04d7t10cnKSaxS9J0+eoGXLlgC+9sfvrVk/SlZWFoKDg3nfm48fP8qsU6lSJdja2vJcLo2MjOQiT2kmMjISrq6u8Pb25spMTExw8OBBdO7cWe73Kmz8HTVqFEaNGlUhxsTSwOvXr9GmTRvObbR37964cOFCqbe6/xTK1nRKErFYTC4uLjxNPjg4WNlilXsSExNpz5495OjoWOCKytixYxWyopKWlkZTpkzh3V9bW5u2bNlSrrLc5ubmUkBAAO3YsYOGDx9eaMZf4GvWdAcHB5o1axadOXOG3r17V2LyJScnc6ueDRo0KNFNimKxmCIjI2n//v00bNgwqSvr3x6GhoY0cOBA2rVrFz179qzIsolEInrz5g1dv36dtm7dShMnTqQOHToUGMygoENFRYXMzMyod+/eNH/+fHJzcyMfHx+5bLLNzMykXbt2UYMGDSTu27x5czp+/HiJryzn5eXRsWPHqHnz5lJX63fv3k1ZWVk/fZ/ExER69OgRubm50fz586l3795kZmZGKioqxfp7GBkZUceOHWnixIm0detW+u+//+jNmzdF/laJxWJ69uwZ7dy5kwYOHEjVqlWTeb8aNWrQsGHDaP/+/RQZGVnifaN+/foEfA2q8LPWK1n3effuHZ0+fZpmzZpFDg4OpKGhUeizb9iwIQ0fPpx27NhBAQEBlJubWyLyKQOhUEibN2/mZY0GQFOnTqW0tLQSvbdIJKJ79+7R2LFjC/QocHR0lItHAaNwgoODeX8HV1fXcr1xv1wrGt9GuNHQ0KA7d+4oW6RyS25uLl2+fJkGDRokdUBRUVGhbt260cmTJ5ViKvT09JSYfDs6OlJERITCZZEHHz9+pPPnz9O8efOoXbt2EoOXtKNevXo0ePBg2rp1K/n4+CjUfeT06dOcHNOmTVPYfYn+/8Rv165dNGjQoCJN/IYOHUr79u2jyMhIyszMpLCwMDpz5gytXLmShg0bRpaWlsV241FkNKWUlBRat26dVCXL0dGRLl++rHC3CZFIRJcvX5a6AGFsbEzr1q0rkYmvvKJz6ejokKWlJQ0bNoxWrVpFZ86cobCwMMrMzKSXL1/Svn37aOjQoVSjRo1CFdtBgwYVW7GVF1OnTuVkOXPmjMLum52dTT4+PrR161YaPHgw1atXr9BnrqWlRe3ataN58+bR+fPn6ePHjwqTV55ERERIvPempqbk5eWlcFkyMjLoxIkT1K1bN6lKuIaGBg0aNIguX75crhS90sadO3d4EeTyI8GVR8qtovGtP7hAIKDTp08rW6Ryh1gspsDAQJo+fTpVr15d6kDRokUL2rRpU6kYINLT02nGjBkkEAh4A9mGDRtKtXUjOzubfH19aevWrTRkyJBiDdBz586l8+fP04cPH5TahpEjR3Ky3bx5U6myiEQiCg0NpW3btlHfvn1JX1+/WBPOwo4aNWpQp06daNKkSbR9+3a6efMmvXv3TiET+8+fP9PixYulhiD+7bffyMvLS+krZ2KxmLy8vOi3336TkFFPT4+WLFlCcXFxJS6HSCSid+/e0Y0bN2j79u00adIk6tSpU6GKQnEPfX196tu3L23bto3CwsKU7hd/48YNTrZRo0YpVZYPHz7Q+fPnae7cucVaMBkyZAht3bqVfH19S3XYY6FQSBs2bCBNTU3efGTGjBmUnp6ubPHo48ePtGnTJmrRooXUZ129enWaMWMGBQUFKf27UR45ffo0bz7yo/umSjvlco/GqVOnMHz4cC5U444dOzB16lQlS1V++PDhA44fPw4PDw+pYUeNjIwwYsQIjB49Gq1atVKChLLx9vaGq6srIiMjuTJ7e3u4u7vDwsJCiZJ95f3797zwksHBwTLDWwJffXy/jQTVsmXLUhPiVSgUwsjICElJSahcuTISEhKUJptYLMa7d+94vv3Pnj1DeHi4TL/57xEIBDA2NkaLFi1gZWWl9IzXb9++xaZNm3Do0CGJELODBg3CwoULYWVlpXC5CiMoKAjr1q3D+fPnJULrjhs3DnPnzpUZWrek+D6D+uPHjxEWFobPnz8XK+u2gYEBmjdvLhENq169ekqLhpWTk4Pq1asjLS0NVatWxefPn0uNf3hubi7CwsJ4ez2+39/zPZqamrCysuJ9/0pD2NBnz57BxcUF/v7+XJmZmRnc3NzQrl07JUomCREhNDQUHh4eOH78uNSw082aNeP2U9aqVUsJUpZPduzYgenTpwP4+r0+efIkhgwZomSp5IwytZyS4NatWzxz1NKlS5UtUrkgPT2djh07Rr/++itPA88/NDU1aciQIXT16tUyEU0kIyODZs+ezWuLpqYmrV27VqHyZ2Vlkbe3N23atIkGDhxItWvXLnRFT0dHhzp27EgLFy6kixcvlvoIavfu3eNk//333xVyz6ysLAoNDaXTp0/TihUraOjQodS6detiJ49TVVUt1Me/cePGNHHiRDp16pTC/xZPnz4lZ2dniag/6urq5OrqWmZcAyMiIsjV1VUiGZ2amhqNHj1a4QmuYmNj6dSpUzRx4sRCo7MJBAKJJIeFHdra2tS6dWsaOnQorVy5kk6fPk2hoaFy2atSFAYNGsTJcv/+fYXc80f59OkTXbx4kRYsWEAdO3Ysksti7dq1adCgQbRp0yZ6+PChwp4r0dc9SX/99RfPhVggENCcOXPKRIShvLw8unr1Kg0ePJhnick/VFRUqGvXrnTs2LFSYZUpDyxZsoT37b5165ayRZIr5UrRCAwM5IUKHDduHDP3/QQikYju3r1LY8aMKTAEY7t27Wj//v2UlJSkbHF/iIcPH1KTJk14bbKxsaEnT57I/V75YSFPnjxJ06dPJ1tbW5lZfvOPRo0a0ahRo2jXrl0UHBxcJhS5b5k7dy7XFg8PD7leOyEhgR48eEAHDhygOXPmUI8ePahhw4ZSlWFZR82aNcnJyYkmT55Mf//9N926dYvev39PYrGYsrOz6f79+7Ry5Urq1KmT1MH326Np06Y0depUOn/+PCUkJMi1vfn4+flRv379pCqhM2fOpPfv35fIfUuad+/e0cyZMyUmkwKBgPr370/+/v4lct+EhAQ6f/48TZkypcCMy98uSHTq1IlWrVpFDx48oJycHBKLxfT+/Xu6efMm/f333zR58mRycnKimjVrFus9FAgE1LBhQ+rRowfNmTOHDhw4QN7e3nJ/j44cOcLdc968eXK9dkmTH6Z7165dNGrUKGrUqFGhz1VdXZ3s7Oxo+vTpdPLkyZ8K0y2LJ0+ekI2NDe/eTZo0oUePHsn9XoogKSmJ9u/fT+3atZP6XHV1dWnMmDF09+5dpbsElmXEYjGNHTuW91yDgoKULZbcKDeuU5GRkWjbti2XHbNv3744d+5cqTEJlyVevHgBDw8PHDt2jJf4Lp+GDRtyJtTyECY4KysLy5cvx+bNm7nQo+rq6li+fDnmz59frISB35KZmYnAwECeG1RsbKzMOrq6urCzs+PcABwcHMp8oitzc3O8ePECKioqiIuLKzBzcUGIxWK8fftWakjThISEIl9HVVUVjRo1kghpam5uDj09vSJfJysrC76+vly4Uj8/PwiFQqnnCgQCtGzZEk5OTujcuTM6dOhQrHt9CxHh7t27WLt2Le7cucP7zcDAANOmTcO0adPK/PsCfE0kuWPHDuzYsQNJSUm837p06YJFixahc+fOUrPPF4Xk5GTcv3+fSwAZFhZWoEuUmpoa7O3tuZCzjo6OxQoDnJKSIjWz+6tXr4qV2d3Q0FBqqOP69esX2w0rISEBxsbGEIvFMDc3x/Pnz4tVv7SRkJAAX19f7lvr7++P9PR0mXVq1KjBC61rY2Pzw4ns8vLysH79eqxatQp5eXkAvoZQnjt3LlasWCG3EOHK5PXr1zh69Cg8PDykurPVq1ePC5XbpEkTJUhYthEKhRg4cCAuX74M4KsL+sOHD9GoUSMlS/bzlAtFIzY2Fm3atOFe/nbt2uHmzZvlonMrii9fvuD06dPw8PDgMsd+S5UqVTBkyBA4Ozujbdu2PzzAl2b8/Pzg4uLCG3QtLS1x+PBhLvZ8QRARoqKieL7FoaGhhU4kzM3NeYNds2bNoKqqKpf2lAZevnzJDTrt27fH/fv3Czw3KysLL1++lJiQvXjxAtnZ2UW+p66urtQJmampaYnsDcnIyMDDhw+5PB6BgYEF5spQUVGBlZUVp3i0a9cOurq6Mq8vFotx6dIlrF27FgEBAbzfatasiTlz5mDChAmoXLmy3NpUWkhLS8P+/fuxefNmfPr0ifebnZ0dFi1ahD59+hQ60U5PT8eDBw84xSI4OLjAv5GqqipsbGy4PBZt27ZFpUqV5NamfHJzc/H69WupCnRhk+Rv0dLSQpMmTSQU6MaNG8scA9u3b8/lcnj58mW5yqMgEonw9OlT7lvs4+ODFy9eyKyjqqqKVq1a8fZ6NGzYsNCxLiwsDGPGjOEyPgNfsz67ubnB3t5eLu0pTRARHj58CA8PD5w+fRqpqakS59jb22P06NEYMmRIxch8LSeysrLQtWtXrl82bNgQDx8+RI0aNZQs2U+iPGOKfEhOTqZWrVpxJqfmzZuzONBFJCcnhy5evEgDBgyQ6sKjqqpKPXr0oNOnT1NmZqayxVUIWVlZtGjRIp5fvrq6Oq1YsYJycnK489LS0uju3bu0Zs0a6t27d4FRt7499PT0qGvXrrRs2TK6fv06ffnyRYktVQybNm3i2r9hwwYiIoqPj6cHDx7Q/v37afbs2dS9e3cyMTEptrtTrVq1qHPnzjRlyhTasWMH3bp1i2JiYpTuLpmSkkJXrlyhOXPmkJWVlcx2qampkaOjIy1evJhu377N62e5ubl0+PBhsrCwkKhnampK+/fvL9URd+RJdnY27du3j5dVN/9o2rQpHTlyhBeKMyMjg27dukWLFy8mR0dHmZmrBQIBWVlZ0Zw5c+jKlSsllluiqIjFYoqJiaFbt27Rjh07aMqUKdS5c2eqVatWsd2wTExMqEePHjR79mzav38/PXjwgOLj44mIaP369dy5mzdvVmqbFcGXL1/o2rVrtGzZMvr111+pSpUqhT7D6tWrU+/evemvv/6iu3fv8vJd5OTk0IoVK3jvlqqqKi1atEihe0KUSWZmJp06dYp69OghdZ+Suro6DRgwgC5evMgbPxkFk5iYSM2aNeOeYevWrZX+TfpZyrRFIzs7G927d4eXlxeAr6a7R48eoXbt2soVrBRDRAgMDISHhwdOnjyJL1++SJzTunVrODs7Y9iwYWVfk/5BAgMD4eLigvDwcK6sbt26sLOzw6tXr/DkyROZGZ4FAgGaNm3KWx0zNzdXWqQZRSMSifD27Vv069cPT548AQBYWVnh7du3Ut+5glBTU+Pcnb5fsa1SpUpJiS9XEhMTeW46+c9DGhoaGrCzs0PlypURFBQkEf2lVatWWLRoEQYNGlSuLF9FRSgU4ty5c1i7di3CwsJ4vxkbG8PKygqpqakICAhAbm5ugddp0aIFZ7Ho2LGj3LOBlxQpKSl48eKFVDesgtz3pFGtWjXUr18fwcHBAL4+j4sXL6J+/foV5r0Si8V4/vw5z7X12bNnMqOKqaiooEWLFjAzM4Ofnx/ev3/P/da8eXO4u7vDxsZGEeKXOmJjY3Hy5El4eHjg8ePHEr9Xq1YNw4YNw+jRo2FtbV0uvSLkxYcPH9CmTRvOdd3JyQnXr1+HpqamkiX7McqsoiESiTB06FCcO3cOwNeX2NvbG+bm5kqWrHTy/v17LiStNH/cGjVqYOTIkRg1alShbkLlndTUVPj7++PBgwc4ceIEXr16VWgdAwMDbk+Fo6Mj7OzsftgXvyyRlZXFTXy+nfy8fPmyWO5OlStXLtDd6Uf3yJRW4uPj4eXlxSkeERERhdapX78+pk6diunTp5easMXKJDc3F3///Td27tyJt2/fFnq+ubk5567WsWNHVK9eXQFSKo7c3FxERUXxlI/8/05LSyvydbS0tNC4cWMJpb5JkyYVwhU5JSUF/v7+nOLh6+srsUdIGo0aNcLw4cPRvn172NnZlZlFkJIiLCyMC5UrbV+ihYUFt8+zNIQiLo1ERESgbdu2SExMBAD8/vvvOHnyZJlcCCiTigYRYdq0adi1axcAQEdHB3fv3i2X/pA/Q3p6Oi5cuAAPDw/cvXtXYqVGS0sL/fv3h7OzM3755ZcKuXFeLBYjIiKCt6r19OnTQmPla2lpoUePHujduzccHR1hZmZWbq0VRISEhASpvuRv374tVl6B2rVrS0xiLCwsULNmzQq7whUWFoalS5fiv//+4zaSFkSlSpXQvn17bjXeysqqTA48xUUoFCIkJITbB+Pt7Y2MjAyZddTV1dG9e3esXr26wi6eEBE+ffokVQH58OFDka8jEAhQv359qYsB5U1p+xaxWIzIyEj4+Pjg33//xbVr1wpdQBEIBGjWrBlv711FsmZ/i1AoxO3bt3HkyBFcvHhR4tkJBAJ06dIFzs7O6N+/f6H71Soavr6+6Ny5M5cbacqUKdixY0fZGyuV4a/1s6xevZrnE3nt2jVli1RqEAqFdPv2bXJ2dqZKlSpJ9Tvt0KEDHTx4kJKTk5UtrsJJTEyk69ev0/Lly6lr165SMyh/fxgaGlKPHj2oc+fOPD9UVVVVWrx4cbnxkxcKhfTq1Su6cuUKbdy4kcaOHUtt27alqlWrFss3XE1NjSwsLHg5Qfbs2VPm/UzlTVRUFE2aNEkiXK5AICB7e3vq3bt3oVngq1SpQr1796YtW7ZQSEhIuQkxKRKJKCQkhLZs2UK9evUq1J++Xr161Lt3b7K3t5fIe6KlpUWTJ0+m6OhoZTerVJGSkkK7d+/mnlOdOnXI3Nxc5n4WaUe1atWobdu2NHbsWNq0aRNduXKFXr16RUKhUNlNlAvZ2dm0aNEi3rdfRUWFOnfuTD169CBDQ8NCn1H+/rzly5fT9evXK+Q+0uTkZDp48CB16NBB6jOqVKkSOTs70+3bt8vNd0weXL16lffu/e9//1O2SMWmzFk0Dhw4gAkTJnD/f+TIETg7OytRotLB8+fPcfToURw9ehQxMTESvzdq1IgzVZqYmChBQsUjEonw7NkzXiSowtxU8iOPfLsaZWpqyq0gPH78GC4uLjwf1KZNm+Lw4cOwtbUtyebIjczMzALdnQrLQP4tVapU4a1s5v/bsGFDEBGqV6+O1NRUGBgY4PPnz+XOBepHefr0KdatW4eTJ0/yopJpaGhg9OjRmD9/PhfSkIgQHR3NreR7enpKRF/6lqpVq6Jjx45cKNamTZuWidUvIsKzZ8+4Nt67d49zGZBGzZo1uTY6OTnBxMSEa+erV6+wYcMGHDlyhLdPQ1VVFcOGDcPChQvRrFmzEm9TWSAvLw9GRkZITk6Gnp4eFx6+IDcsaRGGCkJTU1PCDcvCwgKNGzf+4TCyisbf3x8uLi549uwZV2ZpaQl3d3e0atUKwNd39/Xr17xxJiwsrEgRBx0dHblxpmnTphXCOgkA0dHROHbsGDw8PKS6JtetWxcjR46Es7Mzc4cH4OHhgdGjR3P/f+DAAYwbN06JEhUTZWo5xeWff/7hrVZt3LhR2SIplfj4eNqxYwfZ2tpKXSHQ19eniRMn0qNHj5QeiUcRJCQk0JUrV2jJkiXUpUsXqly5cqErTcbGxtSvXz9at24d3bt3r0iZTnNzc2n16tW8SF0qKiq0YMGCUhNtRCwW0+fPn+nevXu0d+9emjlzJv32229Uv379Yq1W4v9WOn/55ReaNm0a7dq1i+7cuUMfP36U+U7dvn2bqz98+HAFtrz04uPjQ3369JG6kjdnzhz68OFDodcQi8UUERFBe/bsod9//73QaGdGRkY0ePBg2rNnD7148aLUfAe+bcfgwYPJyMhIZjuqV6/OtSMiIqJI7YiJiaE5c+ZItez27duXfH19FdDS0s+wYcO453Lnzp0CzxOLxfTx40e6c+cO7dq1i6ZOnUq//PIL1alTp9jflPr161O3bt1o5syZtHfvXrp37x59/vy51LyfWVlZNH/+fInog6tXr+ZFNyuI9PR08vLyonXr1lHfvn0Lfb8BUOXKlalLly60dOlSunLlSokl+yxNiMVievjwIU2cOJH09fWlPhdbW1vasWMHFy2torJhwwbefOPixYvKFqnIlBlF4969ezwXgzlz5ihbJKWQnZ1NFy5coL59+0o1cauqqlLv3r3p7NmzpWbSWxLk5eVRSEgI7d69m5ydncnMzKzQD7mamhrZ2trStGnT6MSJEz+dHTYsLIysra159zA3NycfHx85tlQ2QqGQIiMj6d9//6UNGzaQq6srtWnThgwMDIo18Kurq1PTpk1pwIABtHjxYjp69CgFBARQamrqD8k1Y8YM7tonT56Uc6vLDmKxmG7cuEGdOnWSeOZVq1allStX/lSYY7FYTE+ePKG///6b+vfvX+jfvVatWjRixAg6ePAgRUVFybGlhRMVFUUHDx6kESNGFBqq1cDAgPr3709///03PXny5Kf6aUJCAq1YsUKqC6CTkxPdvHmz1ExwlcGJEye45zFz5swfukZqaioFBATQ0aNHafHixTRgwACysLAothtW1apVqU2bNuTq6kobN26kf//9lyIjIxXqhvXo0SMyNzfnyWVtbU1hYWE/fE2xWExRUVF04sQJmjZtGtna2hbp2ZiZmZGzszPt3r2bQkJCKC8vT44tLV1kZWXRmTNnqFevXgWGyu3Xrx9duHCh3LgrFwexWEyzZ8/mnoeWlhbdv39f2WIViTLhOvXkyRO0b98eKSkpAICRI0fiyJEjFWZzFRHB398fHh4eOHXqlFSXAisrKy4krZGRkRKkLFni4uJ4G7YDAgIK3Qxaq1YtXnhZKysruUdOEQqF2LhxI1asWMG5aaioqGDWrFlYvXq13O6XkZFRoLuTrDCe31OlShVYWFhIbOo0MTGRm2sTEcHU1BTR0dFQU1NDfHw89PX15XLtsoJIJMI///yDdevWISgoiPdb7dq1MXfuXIwfP17uieDEYjFCQ0O5iFb379+X6e5Sv359zv3IyckJdevWlZss79+/5+Tw9PSUGR2qSpUq6NChAydHq1at5P59T09Px4EDB7B582aJjdDW1tZYtGgR+vfvX2HGlXySkpJgZGQEoVAIU1NTREZGys3dLi8vD9HR0RJuWM+fPy+WG5aGhkaBbljy6kNZWVn4888/sWXLFi7AhYaGBlauXIm5c+fKPVhKVlYWgoODeS5XHz9+lFmnUqVKsLW15bn2ltfxPj9Ubn4I5m+pWrUqhg4ditGjR8PW1rZMuIfKA7FYDGdnZxw/fhwAoK+vj/v376NFixZKlkw2pV7RePPmDdq0acP5JXfr1g2XL1+uEP7e79694/wYpWU1rVWrFheStnnz5kqQsGTIy8tDaGgoT7GIioqSWUdDQwNWVlY8xaJOnToK+wA9ffoUrq6u8Pf358oaN24MNzc3tG3btkjXICLExcVJxMh//vw5F0+7qNStW1dqdCdjY+MSfyZPnz7l3sfOnTvjzp07JXq/0kRubi6OHz+O9evXS/TZxo0bY8GCBRg5cqTCQtQKhUIEBwdzk/3CojU1atSIp3gUJ49ObGwsT7GQFRa6UqVKaNeuHRdy1tLSUmFR73JycnDs2DGsX78ekZGRvN+aNGmCBQsWYMSIERUqjHDnzp3h6ekJ4Gv/bdq0aYnej4gQGxsrsXASERHBy01RFOrVqyc1GpaRkVGRv3Xe3t5wdXXlvQ92dnZwd3cv8WeRDxEhJiaGp3gEBwcXupDUsGFDbtxzcHBAq1atytX8KDw8HB4eHjh27JjU/WlNmjTh9p/Wq1dPCRIqltzcXPTp0wc3btwA8HUe+OjRI9SvX1/JkslAWaaUohAfH0+NGzfmTEV2dna8zJzlkdTUVHJ3dycnJyepplRtbW0aMWIE3bhxo9xE9fj48SOdP3+e5s2bR+3atSMtLa1CTcr16tWjwYMH09atW8nHx6dUmFLz8vJo/fr1PBc/gUBAM2fOpIyMDN55L1++pMuXL9OGDRvIxcWFHB0df8jdqVmzZjRw4EBasmQJHTt2jAIDA5XeR9auXcvJuHXrVqXKoijS09Np27ZtUv3VLS0t6cyZM6Wiv+bm5tLDhw9p9erV1Llz50L7moWFBU2ePJnOnj0r4SMdHx9PZ8+epcmTJ0u4mnx/aGlpUefOnel///sfPXz4sEh+7iWNUCikM2fOkKWlpYS8devWpW3bthVpz1Z5YMuWLVzb161bp1RZ0tLSKDAwkI4dO0ZLliyhgQMHUtOmTXl74opyGBgYkKOjI7m4uNCGDRvo8uXLFBkZyXM/Sk9PpxkzZpBAIODqaWpq0oYNG0qFm1J2djb5+PjQli1baPDgwVS3bt1C262trU3t27enefPm0YULF+jjx4/KboZcEAqFdOPGDRoxYgRpa2tLtFsgEJCTkxMdPnz4h11+ywppaWm8vblNmjQp1XtYSq1FIz09HV26dOFWiJs0aQJvb28YGhoqWTL5IxKJcPfuXXh4eODChQvIzMyUOMfJyQnOzs4YOHAgKleurAQp5UNOTg4eP37MW7UpbLVeS0sLNjY2PHNxrVq1FCRx8YmIiICLiwt8fX25MgMDA7Ro0QJfvnxBZGRksdyd9PT0CnR3Ko25T9q2bYtHjx4B+BoByNTUVMkSlRxJSUnYuXMntm/fLpHxvGPHjli0aBG6du1aak372dnZ8PPz46I9+fr6yszlUb9+fRgYGCApKUmmK5S6ujocHBy4yFD29vbQ0tIqiSb8NESEmzdv4q+//sL9/9feWYdVsbXv/55NSomIHajH7kARPYodWMcA7MLu7jp2vXagx8TEDhBbsBALuz3WEQMxkIY96/cHP9Z3703uzew9M7A+13Wu93plz1r3zKw1M8+K5758We1v9vb2GD16NIYPHy4b93BdePXqFcqUKQMgqf9evXpVZEUpSUxMVFuGpfq/ycuqM4OpqSnKlCkDe3t7PHjwQM2Qz9nZGdu2bZN0pqOPHz9SM8GgoCDcuXMnQ28PBwcHtfdnjRo1ZD1jFxERgcOHD8Pb2xsBAQEp/m5hYYFOnTqhd+/eaNKkSbbM5hUWFoY///wTL168AJA0A3fx4kXBl+MKgSQDjYSEBLRr145ODRUqVAhBQUHSnhrSgcePH9MpwdTWZpYpUwZ9+vRBz549ZXvuqU0FZ5RCtWTJkmpLoKpWrSrZhyIhBF++fEkx/f/kyZNU0wynR/HixVNM/1eoUEGrJQBi8/XrVxQsWBCEEFSsWBGPHz8WW5Je+PTpE1asWAEvLy9ERkaq/a1du3aYOnUqnJ2dRVKnO9HR0bh+/TouXryI8+fP486dO+B5PsPjFAoFatWqhebNm6Nx48aoV6+ebFKYqnL9+nUsWrQIvr6+av9uZWWFoUOHYuzYsShUqJBI6vRLxYoV8fTpU3Achy9fvsjGiE/1Gaz5HNZlyalmuu7y5csbZMmprsTHx6dYavzmzZt0jzEzM0t1qbEceffuHXbv3o2dO3emWAoJJO2JS06Va6hlcIZCc2tB69atcfz4ccktnZNcoMHzPPr06YPdu3cDSBrNvXz5crZxdg0LC6ObnDQ3iQJJI9/Jm5zq1Kkj2YdbasTGxqbY3JaR+6yFhYXa5jYnJyet1oUbisTERPz777+pvsx+/vypVVkmJiZwdnZGw4YN6cusbNmy2cIVdceOHejXrx8AYPLkyVi8eLHIioTl9evXWLZsGbZv3642K6VQKNC1a1dMmTJF8hvz0iIqKgrXrl2jeyxu376doReAKkZGRnB0dKT7LurXry/LYANISkCyePFi7N+/Xy3QMjMzQ9++fTFp0iSUKlVKRIXCM3nyZCxduhRAUj9WzdsvVyIjI/HixQv6vL58+TKCgoLSnbVLDVtb21QHgaQ6q/z582cEBwerJU9JbaWEKkWKFEmRPEWqs5CpQQhBcHAwTZqjOlOVTK1atWjSHLkE0hnx4MEDNGjQgCZX6NWrF3bs2CGppBaSCzQmTpyI5cuXA0h6qJ89exYNGzYUWVXWiIuLw8mTJ+Ht7Q1/f38kJiaq/d3Y2Bht2rRB79690aZNG5iZmYmkNPMQQvDu3Tu1UZSQkJAMH+ClS5dWe5hVqVJFUg/qyMhIPH/+PMVm7JcvX2r1crK1taXLncqWLYtXr15h9+7dalPcQ4cOxZIlS2S9FE6Tzp0748iRIwCSNlhmdiO81Hnw4AEWL14MHx+fFB+e/fr1w8SJE2X34RkbG4ugoCAaWAQHB6fbxqtVqwZnZ2fY2dnhx48fuHbtGh48eJDm701MTODk5EQ3ljs7O8vqwwVIMq5LDixVZ2IVCgU8PDwwZcqUbDMIdvXqVTRo0ABAUj8+dOiQyIqE4/fv35g8eTI2btxI/83MzAy9e/dG6dKl1Z712gwcmZiYoEyZMimWtZYrV05SA0eJiYl4+PAhgoKC6Ps6vWQNQNK51ahRg76rnZ2dUbx4cVkMfsbFxcHPzw87d+7EqVOnUv3mcnV1Re/evdG2bVtZfHOlR2BgIFq2bEmfURMnTqSDBlJAUoHG8uXLMXHiRABJD/LDhw/jr7/+EleUjhBCcOPGDXh7e8PHxyfV6NrR0RG9e/dG165dJR9dR0dH4/bt22qBxefPn9M9xsrKCnXq1FHLiCGFPTZEJeOJZkCh7XInBweHFCNdaWU8efXqFTw9PdXWgTs4OGDr1q1o2rSpIOcmJrGxsbC3t0dUVBTs7e3x+fNn2a+NvXbtGhYtWgQ/Pz+1f7e2tsbQoUMxZswY2SyliY+Px82bN2lgcf369XSXMVasWJEGCS4uLqn23W/fviEwMJCWqeqgrImZmRnq1atHy6xTp45kl0Rq8unTJ6xcuRIbN25MsVSubdu2mDp1KurVqyeSOmFQKpUoUKAAwsPDYWVlhW/fvsn+AwwAzp8/jwEDBqjtKWrYsCG2bt2K0qVLq/2WqGT+09wHou0yrKJFi6a6DKtgwYKS+FgPCwtTm/W4efNmiratScGCBdUGCmvVqiX5WcuwsDDs378f3t7euH37doq/58mTBx4eHujTpw+cnJwkcW904ciRI3Bzc6MDYcuXL8f48eNFVvX/MfDm8zTx9vZWyyCwadMmsSXpxJs3b8jcuXNJ6dKlU80IUaRIETJlyhTy+PFjsaWmCc/z5NWrV2TXrl1k+PDhpGbNmqka6Gj+V65cOdK3b1+yadMmcv/+fdGz7CQkJJBnz56RY8eOkcWLF5M+ffoQJycnkjt3bq2yl5iampLKlSsTNzc3MnPmTLJnzx5y9+5dnTLSKJVKsnbtWmJhYaFWx6BBg8ivX7/0cBUMh7+/Pz2fPn36iC1HZ3ieJ/7+/qRBgwYp2oK9vT2ZP38++f79u9gyMyQhIYHcuHGDLFq0iLRo0SJFm9P8r0yZMmTQoEFk37595NOnTzrV+enTJ7Jv3z4yaNCgDE00LSwsSIsWLciiRYvIjRs3JJHlJyO+f/9O5s2bR+zt7VOcT8OGDYm/v7+szf969+5Nz+f06dNiy8kSv379IgMHDlS7R5aWlmTdunVEqVRqXV5kZCS5e/cu2bNnD5k5cyZxc3MjlStXJqamplq9T3Lnzk2cnJxInz59yOLFi8mxY8fI8+fPRW//iYmJ5P79+8TLy4v07duXlCtXLsNzMTY2JrVq1SLDhw8nu3fvJq9evZJ0+3/06BGZPHkyKVKkSJrPwHnz5pE3b96ILVUnvLy81M5n165dYksihEjEGfzUqVNqLplz584VW5JW/Pr1i2zdupW4uLik+ULt1asXOXfunOgf36nx+/dvcvHiRbJw4ULSrl07ki9fvgwfMDY2NqR58+Zk1qxZ5NSpU1lyN84qSqWS3Lp1i3h7e6u50uqSDrFevXrE09OTutK+evVKL/fs9evXKVIYFytWjJw5c0bwugzFsGHD6LkcOnRIbDlak5iYSHx8fNJMd7p69Wq1NMVSIzExkdy5c4csX76ctGnThlhbW6fb3kuUKEH69etHdu3aRT58+KAXTR8+fCDe3t6kX79+pESJEunqsba2Jm3atCHLly8nd+7ckeSzMpnIyEiyevXqVNON1qhRg/j4+Ehaf1ocPHiQnsfw4cPFlqMzp0+fTnFvGjduTP7991/B60pMTCSvXr0iJ0+eJMuWLSP9+/cn9erV0yldeYUKFUinTp3ItGnTiLe3N7l165ZOQZFQhIeHk1OnTpFZs2aR5s2bExsbmwzPI1++fKRdu3Zk4cKF5OLFi6KnW0+NxMREcu7cOdKrV680B2BcXFzI1q1bZTcA+Pfff6sFgv7+/mJLEj/QuHHjhtqNHjZsmKQjYk1iY2OJnZ1dikbKcRxp0qQJ2blzpyQ7mirLli1L98HBcRypVKkS8fT0JFu2bCGPHj0S9eGniVKpzHC0VvU/BwcH0qpVKzJmzBiyadMmEhgYSL58+WLwdqdUKsnGjRuJlZWVmr6JEycaVIcQ8DxPX+ympqayy2PO8zypX79+irZSvnx5sn37dhIXFye2xAzx8/NLt90XKVKE9OrVi2zbtk20Ebs3b96Qbdu2kZ49e6Y5qpj836lTp0TRqA1xcXFk+/btqY7+/vnnn7J6lxGSNGiWPEBTvHhx2eknhJCJEyeq3QcrKyuyceNGg7+zeJ4nX758IYGBgcTLy4uMGTOGtGrVijg4OGT6XWVhYSG5d+2jR4/Ili1biKenJ6lUqZKaB0lq/y1fvlxs2eny+/dvsmPHDtKkSZNUz8XOzk4SPl2Zhed5MnToULU2dOPGDVE1Cb5H4/nz5+nmV9cHtWvXFjTHudzPgenXHtaG1JG7fkD+5yB3/YD8z4Hp1x7WhtSRu35A/ucgd/2AvM9B8HQ/vr6+sLS0xP3795GYmIjixYvD2dkZZcqU0Vu6rTdv3gh6Q319fWFhYYHfv3/Dzc3NIFmRhDwHX19f2NnZITIy0mCb6YXWb2xsjIiICLRr1w558+YVpNz00Ecbcnd3p/+fEIJbt24hMDAQcXFxqFevHlxcXATdLC30PejcuTOuXr2KS5cuoXDhwmjSpEmKzZNCoo97EBMTg/DwcJQoUQIWFhYwMzODlZUV8ufPj4IFCwq+2VXoe5CYmIiIiAg0aNAA5cqV0/uzSJ/9IC4uDnfu3MHVq1fB8zyaNWsGR0dHwepKRh/P0t+/f6Njx46ClJkRQuu3srLCr1+/0Lx5c9jY2MDY2FivqS/10Ybkfg/c3d0RHh4OPz8/vHr1CkWKFEHr1q1RvHhxQerQRN/vM32yfPlyODo66qUfREdHo0uXLoKUmRH6uAexsbH4+fMnRo0aleHvHz9+jH///ReNGjXSObOlUOcg+Fsr+YPq4cOHMDY2xrlz57B8+XI0atQIc+fORdWqVQXf1R8WFiZoeYQQvH//HmvXrsWFCxewfft2FCpUSK/ZCIQ8B0II/vvvP8ydOxcFChSAm5ub3jMp6EP/rl27sGnTJvTq1QtDhgzRa2o9fbShYsWKAQBiYmIwcOBAHD16FGXLloWpqSn27NkDFxcX7N+/X7D0tkLfg7lz58LHxwfVq1dHQEAA1qxZA3d3d0yfPh0ODg6y6MdhYWG4dOkSvn//jsTERCiVSiiVSnAcBwcHB7Rv3x59+/YV7HyEvgefP3/GiRMnsHbtWlStWhXdunVDy5YtUbRoURokCXkf9HEPFAoF/P394eXlhRcvXqBUqVIwMjLC9u3bMXz4cCxZskTQD1+h78GHDx8wb948mJmZYdCgQbJ7lr579w5eXl5YtWoVChUqBHt7e5QoUQKNGzeGq6srrK2tJd+GPnz4gPnz5+Pjx4+YMWMGrKysZPU+PnXqFBYsWAClUolSpUohMDAQGzZswMSJEzFx4kTBBxD0+T7TJzExMVi/fj22bdsmaLmEEHz79g1z585F37590/x45nkemzdvRqFChdC+ffsstTF93IMXL17g1KlTWLZsWbq/W7hwIRYtWoRcuXIhX758CAoKQu7cubWuU6hz0Muwxrp163D16lUEBgbi3r17OHToEKKiolCvXj0sW7ZMKxMosVi4cCGCgoIQFhaGWrVq4dKlSxB4lZlemTFjBmbPno3u3bvjyJEjstIOAEuXLsW9e/cwefJkHDt2DDVq1MCECRPw8eNHWZ1LQkICmjRpggsXLsDX1xdBQUG4cuUKLl++jKdPn6Jhw4YpcnxLhREjRuDChQsICAhASEgItm3bhps3b6JmzZqYOXMmvn37Jvl7sXLlSty8eRP379/HvXv3EBISguDgYBw8eBBt27bF/v37UbNmTcyZMwcxMTFiy03BihUrEBISAj8/P1SrVg3Lli1D7dq14ezsDDc3N8yaNQtnzpxBVFSU2FLTZNSoUZg1axacnZ1x5coV3LhxA9evX8fevXuxfv16DBgwIFPu42Ixc+ZMrFq1CsOGDcPmzZsl3+Y1WbBgAe7du4fVq1fD3d0dFStWRGhoKEaOHIlatWrJ4v0wc+ZM7N27Fzt37kSdOnWwd+9eREZGSl53MjzPw9PTE/fv38elS5cQEhKCRYsWYeHChXBzc0s3zXROgRACT09P2NraolevXoKXP3XqVJQsWRItWrRIs91MmjQJY8eORadOnajbtpTo06cPvn37lu5vTp8+jZkzZ2Lz5s3U26x58+bi9hWhN30sW7Ys1X9PSEggmzZtIrly5SIeHh4kJiZGsDrv3LkjWFmEqJ9DVFQUGTBgADE1NSUTJkwg//33H1EqlYJvkhPyHJL18zxP5syZQ4yNjcnhw4f1urFPH/oJSTqH379/k23btpFy5coRe3t7smDBAvLr1y9Bz0cfbYjnedKrVy+SO3fuVLP6fPnyhVhbW5P+/fsLci5C34PUNEVFRREvLy/i4OBAihYtSry9vQXLrqPPfpwayW1r8+bNJF++fKRmzZrk3bt3WapTX/2AkCS9P378IBcvXiSLFy8mffv2JXXr1iW2trakYsWKgqRW1cc9+O+//8jXr19TaON5nly/fp2YmpqSSZMmCdaf9fUsXb9+PVEoFOTAgQOyfJYmw/M8USqV5L///iOjR48mpqamZNiwYSQ+Pl6QOvXVj3meJ6GhoWTEiBHE1taWlCtXjvz999/k4cOHJD4+XrLvg+RnaWrt//79+yRfvnykUaNGgma0M/SzVAg+ffpEAJBr164RQvTTDz5+/EgAkNDQ0BS/+fXrFwFA/Pz8SOXKlUnNmjWzVKc+7kFkZCQBkGZbj4uLI7ly5SLjx4+nvwkNDSUAyJMnT7SuU6hzMJhHubGxMQYOHIjLly/j4sWLaNGiRYbmMFLAwsICmzZtgre3Nw4fPozq1aujXbt2mDNnDk6cOIHQ0FDJjqpwHIdZs2Zh2rRp8PDwwO7duyWrNS04joOVlRX69u2LW7duYcaMGVi7di0cHR1x9OhRSc+OXbt2Dbt27cLZs2dRtGjRFH/Pnz8//P39sW3bNq3NoAxBatPGFhYWGDRoEO7evYuePXti8ODB6Nq1K37//i2CwqyR3LYGDBiAu3fvwszMDI6Ojum6XYsJx3GwtbVF48aNMWnSJGzbtg2XL1/G7du3Ub9+fbRr1w4HDhyQXB8vUqQI8uXLl6I9cRyHunXr4tixY1i+fDk2btwoOe3JcByHoUOH4u+//0b37t0RFBSkdRkkKcujHtRpB8dxUCgUKFKkCFauXImTJ09i7969aN++PWJjY8WWlyYcx6FQoUJYs2YN7ty5g27dusHHx4eaQHp5eeHr16+SuMaacByXavuvWrUqgoOD8eLFCzRp0iTD0ersCiEErq6uqFy5MpydnfVWT6FChVCiRAn06dMnxd8GDhyI/Pnzo3Xr1jhw4ADu3r0ruZnWZHPEtNzrR48eDRMTEyxZsoS2t0KFCsHJyclge1NSw2CBBpDUsRwdHXHr1i28f/8eDRo0SPOCSQmFQgF3d3fcvXsX69evR5EiRXDmzBkMGDAA1atXx+DBg/HlyxexZaYKx3GYM2cO5s+fj/79+2PGjBmSfpmkBcdxsLa2xqhRoxASEoIWLVqgR48e6Ny5M968eSPJl8vx48fh6emJ2rVrp/mbevXqoU6dOmjdurUkzyE1OI6DnZ0dFi5ciICAANy8eRP169eXRV9ODY7jULRoUVy8eBENGzZEgwYN8ObNG7FlpUvyh4uJiQn++OMPbNq0CXPmzEGPHj3UnOelDsdxaNWqFTZs2ICRI0fC29tbsv2A4zhMnz4dffv2RfPmzbXKABMREYEVK1Zg8ODB2L9/v2TOkeM4NG/eHDdu3MC9e/fQvHlzyb8fOI5DqVKlMGvWLNy6dQu+vr6oVq0a5s+fj2rVquHvv/9GRESE2DIzTcmSJXHz5k38/v0bjo6OOH78OL59+4a4uDjJtBN9ExQUhJCQEJw+fVqve284jsOuXbtw7tw5tUFKpVKJgwcPYvfu3eA4DuXLlwcABAcH602LLiQ/9y9cuJDib5GRkdi0aRN8fHxSJJk5cOAAnjx5gvj4+EzVExwcLOjSMYMGGsk4ODjg5s2biI6OhrOzsyyi+OTRRHd3d2zatAmXL1/GvXv3sGrVKly9ehW1atXCvXv3JPlg4DgOkyZNwt69e7Fx40a4uLjgypUrkp4NSAuO41CwYEGsXbsWAQEBCA0NRa1atbB582bJnc/SpUvh5eWV7oOT4zgcP34cT58+FXzzmL7hOA516tTB7du3ERcXhz///FPSewUywtzcHPv370ft2rVRr149REdHiy0p03Ach2nTpmHw4MFwdXWVVdDHcRwGDRqEJUuWYMCAAZg4caJkZ8g4joOXlxdtIxnpJITg2bNnqFOnDlauXInQ0FD06tULixYtksy7guM4lCtXDsHBwXj58iVat26NhIQEsWVlCMdxsLCwQMOGDbFu3Trcv38f06ZNw5YtW+Do6IgbN25I5hpnRJEiRRAUFIRmzZqhb9++qFq1KurWrQt3d3f4+PhI7t0mJDzPo127dujRowcKFy6s9/rq168PY2Nj7Nixg/7bpk2bYGRkhGbNmgH4vz4xefJkvevRlmLFimHnzp0p/r1Pnz7Inz8/WrZsmeoxRkZGOHDgQKbqaN26NVatWpVVqRRRAg0gadnIjRs3YGJiAicnJ8nOCKQGx3EwNTVF4cKF0b17dwQHB6Nu3br4888/cefOHbHlpQrHcejSpQvu3LmDIkWKoGXLlvjrr79w9uxZxMTEyOaBnAzHcXBycsLly5fpBi53d3dJfWBxHJepbCIFChRAsWLF0LdvX/2L0gPJWS0iIiLQokULWb8UjY2N4evrC4VCgQ4dOsiqX3AchzVr1qBIkSLpbniUIhzHYfz48Thw4AD27NmD2rVr4/jx45JbugAARkZG8Pf3h5mZGZo0aZLmKCEhhL4bSpUqhZCQEJw4cQK7d+/GjBkzEB4ebmDl6VO8eHEEBwfj/v37cHNzk+S1TwuO42Bvb48RI0YgJCQEtWvXRuPGjXHixAnZ9AMbGxv8888/uHv3LtauXYtu3bqB4zj0798fvXr1kkXwpwtLlixBZGQktmzZoveMbkBSWxk1ahTGjBlDlzNOmDABU6dOVat/+vTpuH79uuTaT8eOHREYGKj2bz9+/MCRI0dw7NixVK9h8szljBkzMiyfEIIfP36gR48egmkWLdAAgDx58uDq1auwtbWFk5MTvn79KqYcnbG2toaPjw86duyIxo0bSzJbAZDU2EqWLIlDhw7B398fCoUCnTt3hrOzM1avXo3Pnz9LrlNlhLm5OSZPnozAwEDcv38fTk5OktzvkB4cx2Hfvn3w9/eXbAaqjLCzs8P169cREhKCUaNGya4dqWJubo7Lly/jwoULOHbsmNhytMLIyAiBgYG4e/cuNm7cKLYcreA4Dn/99RdCQkLQqFEjeHh4oE+fPpLcy5crVy5cv34db968Qfv27VNkDSKE4MiRI2jcuDE6dOiA48ePI1++fHQZroODA7p27SqS+rRxcHDA1atXcfr0aYwfP152/ZjjOOTLlw+7du3CuHHj0KVLF9y8eVNsWZkm+R3duXNnTJo0Cfv378elS5dw+vRpdO/eXXb3IyO+f/+OGTNm4J9//oG5ubnB6l2wYAGio6Ph7e2Nbdu2IS4uLsVHeOfOnWk6dCnRt29f/P79m7YFQgjc3Nzg4OAAJyenNI9btmwZ3r17l2EbSv4GqVixomCaRQ00gKQoPjAwEHZ2dqhbty5+/foltiSdMDIywo4dO1CxYkU0aNBA0h+MCoUCLi4uOHr0KG7cuIEWLVpgxYoVqFatGmbOnCmpWYHMwHEcateujZs3byJ//vyoU6eO5NfYa1KvXj0YGxtj69atYkvRmaJFi8Lf3x8bN27E0aNHxZaTJUqVKoXJkyejR48eshtJLFSoENatW4dRo0bh48ePYsvRiuSlkRs3bsSZM2cQGBiIhg0bSnIZW8GCBREUFIS7d++iWbNmePbsGRISEvDlyxdMnDgR3bp1w7hx47B9+3aYmJjQ4ziOw4EDB3DhwgXJfcQASR8Yvr6+WL16Nfbs2SPLj1uFQoH58+ejZ8+eaNasmWy/KxQKBerUqYOAgAAcOnRIVvuvMoIQglatWqFMmTJ6SWebHubm5li6dCkGDBiAoUOHYunSpTA1NVX7Ta5cuQBAcqtUqlatCgB0j9jTp09x4cIF+Pn5pTsjVKlSJQDAv//+m275ISEhACCombDogQYAWFlZITAwECYmJmjYsKFsc0obGRnh3Llz+Pr1KwYPHiz5B7RCoUClSpWwZMkShISEYPbs2fD29oajo6PsfEOApFH1c+fOoXLlyqhbt67kliakB8dxGDZsGCZOnCi7665Kw4YNMWvWLHTt2lV2H7mqcByH+fPnw9jYGGPHjhVbjtYMHjwYtWvXRsOGDSX5MZsRHMfBxcUFt27dQlhYGFq0aCHJpTxlypTBzZs3kZiYiDp16qBBgwaoXr06Dh48iD179mD+/PmpmhE6OjpCoVDgxIkTIqjOmKZNm2Lp0qXo27cvnj9/LrYcneA4Dv/88w/y58+PNm3ayPq5WqVKFXh6espuOWd6eHt7486dO7hw4YJBlkxpMm7cOKxYsQJeXl6pPuOTs5wtX77c4NrSQ6FQoGTJkujfvz9iYmLQrFkzuLq6ZjgDwXEc8uTJg8WLF6f7u02bNsHOzk7QeyKJQANIWn507do1hIaGonPnzrLtTDY2Njh9+jS2bduG27dviy0nU3Ach7x582Lo0KG4e/cuXFxc0KpVK2zbtk1298Hc3Bx+fn4oUKCA5GeWNFmwYAF+//4ti+QIaZGcUrlWrVqSNiPMDEZGRti3bx82bNggyRH19OA4DmfOnMGXL18wdOhQ2fXjZAoUKICgoCDcunULs2fPluR5lChRAgEBAdi9ezfatm2LlStXIiQkBF26dEnzZZ2cbWv06NEGVps5kvfMtGrVCi4uLrId/DM2NsbFixdx7do1nVISSwWO47B+/XpERkZi165dYsvJMp8/f8aAAQOwdOlSg2wATw2O4zBy5Ej0798/1cEAABgwYAD8/PwMrCxjjh49ioCAADRu3BhAUlapzAQGffv2xf79+9P9zYkTJ9C2bVtBdCYjmUADAOzt7XH16lWcOXMGixcvluRLJTM4OzujW7duaNWqlaxGE5M31P3zzz9YvHgxBg0aJOl0k2lhZmaGwMBAfPz4EQMGDJCNfktLSxQsWBBDhw4VW0qWUCgUOHv2LMLCwmR1/VPD1dUVdnZ2GDJkiNhStMbGxgZnzpzB1q1bsWHDBtneh6JFi8LHxwcLFizA69evxZaTKmZmZmjfvj1mzJiBrl27ZmpEcNWqVfjw4YNk7wvHcTh06BCUSqWs9wcUL14c3bt3R7t27WR7DkBSG5s8eTKGDBki6/NITEyEi4sLqlevjnHjxokym5FZBg0aJMlkOVWrVsU///yDChUq4ObNm7C0tMzUcaNGjUJkZGSa50MIwbdv3zBo0CAh5Uor0ACAsmXLYteuXZg+fTru3bsnthyd4DgO27dvR3R0NGbNmiW2HK1RKBQYM2YMli9fDk9PT1muC82TJw/OnTsHb29vSY5IpEbyVP+RI0ckuUxEG6ytren19/HxEVuOznAcBx8fH+zevVvy/gKpUa9ePXh5eWHUqFE4efKk5F6YmaVDhw5o0qQJmjRpIttz0KR06dIAktZYSxVzc3NcunQJR48excmTJ8WWoxMcx2HLli348eMHfH19xZaTJebMmYO4uDgcOXJEbCk6QQjB4MGDERoainPnzkk6yACS0g4DaRvkiUVyNrJt27alagacFg4ODgCQps9M8rPV0dEx6yJVkFygwXEcPDw84O7ujqZNm8p2ytbMzAy7d+/GokWLZLVXIBmO4zBmzBgMGTIErVu3llX64WRq166NSZMmoUuXLpLNy6+Jq6sr9daQO3Xq1MHChQvRq1cv2W3OV6VJkyawtraW5V4NjuMwYMAATJs2jaa3liMcx+Ho0aMIDQ2VXTattOA4DoULF8b06dPFlpIulStXxpQpU+Du7i6b56gmuXLlwuDBg9GzZ09ZB6omJiYYMmQI+vfvL7vzIIRgy5Yt2LFjB86ePQtbW1uxJWVIcor6zPpPGJLU3OYzc4yRkREOHjyY6t+TN5hrbozPKpILNICki+Ht7Q1jY2N4eHjIrkMl06lTJ5QtW1a2G9GS8/JXqFABLi4ushtl5zgOCxcuRKFChdC2bVtZ3AOFQoG+ffvC09NTFnrTg+M4TJ48mbptZ9aVVGpwHIedO3di06ZNsstABSTpnzt3Lrp27YrGjRvLzhgyGWtra6xcuRKjR4+W3Z6ZtJgwYQJOnToltox0SU6MUKhQIdm+ywBg5cqV+P37N86fPy+2lCzxv//9DxEREbh27ZrYUjINIQSBgYEYMmQI1qxZg7p164otKdPUqVMHa9asEVuGYNSuXRurV69O9W979+6FmZmZ4DNNkgw0gKSI6uLFizhx4oSsp2zPnj2L4OBgXL16VWw5OqFQKHDhwgW8ffsWM2bMkN1LRqFQ4OLFi7hy5Ypsps3XrFmDHz9+yOpFkhYcx+HkyZOIjY1F165dZdd+kunQoQNy5cqF2bNniy1FJziOw7Zt21C6dGk0aNBAVnvHVBk+fDjy5s0r6z0DqvTv3x/x8fGSH8RRKBQICAjAtWvXsHfvXrHl6IS5uTl69uwp6+cQkHQeHTt2hJubm2zO4+HDh2jdujWGDh2KYcOGSX7JlCrjx4/H06dPZXOtM2LcuHF48uRJqn/buXMnnJ2dBa9TsoEGkJT3N3nKVq55sJMdn9u3by/bl7utrS18fHywePFiWS6BKVGiBCZOnAgPDw9ZLMWzsLBAnz590K5dO1lnbUrGwsICAQEBOH78uGwzpnAchw0bNmDp0qWynNUAkjLwXLp0Ce/evcO0adNk+eJUKBQ4ffo0jh8/jmfPnoktJ8vY2NgAAO7evSuykowpXrw4FixYgH79+slyOTAAbNy4Ed+/f8eVK1fElpIltm/fjs+fP1PPAynz4sULNGjQAG3btsWaNWtkFWQAQKtWrUAIkfxgQGZxdXUFz/Opns/r16/1koxG0oFG8pRt0aJF6c2WGxzHYdOmTYiNjcXMmTNleQ4A0L59ezRs2BBNmzaV3TkkL6FK/oCXun6O47B582YolUr07NkT79+/R3h4OD59+oSfP39KXn9qJPu1eHp64tOnT2LL0YlevXrB1NRUlgkekrG1tcXBgwexbNky2fqcVKtWDS1btkTz5s1l2RdU4TgORYsWxdy5c8WWkiEcx2HSpEkoU6YMmjVrJstrb2lpCQ8PD3Tp0kWW+pOxsbGBq6sr2rdvL+nzeP78OZydnVGvXj3s27cvzTSyUibZuE/O6ZFVsbCwAIAU/jjJwVTr1q0Fr1Pyd12hUCAwMBC3bt3CmjVrJN2p0sLU1BR79uzB4sWLZfty5zgOJ06cwIcPH7B582ax5WiNkZER/P394ePjk+a0oZQwNTVFYGAgbt68iRo1aqBatWqoXr06qlevjgkTJshuv0NyXv4aNWqgUaNGshwdUigU2LJlC5YuXYqYmBix5ehMmzZtULNmTbRs2VKWz9PktKtfvnzBunXrxJaTZcaMGYMzZ86ILSNTJC9Fffz4MRYtWiTL9rN161Z8+/ZNNktpU4PjOOzduxehoaGSbDuEENy6dQt169aFk5MTjh8/DmNjY7Fl6QTHcShfvjymTp0qthRBSDbuW7Fihdq/h4aGAkgy0BYayQcaQFKKsU2bNmHcuHF4+fKl2HJ0omPHjqhTpw4aN24sy48sIGkUZdmyZRgxYoQsP7QcHR3h6uqK5s2by+Ie1KhRA3fv3sW+ffuwdu1aeHt7Y8qUKdi5cyfatWsni3NQJXnP0tu3b7Fw4UJZfqR069YNefPmRa9evWSpH0i6D35+fnjy5AmCg4PFlqMTVlZWWL16NcaOHSvbTEjJ9OvXD/Hx8bJpTwUKFIC3tzdmzJiB+/fviy1HaywtLTFq1Ch069ZNtssgASB37twYMmQI3N3dJbUsmxCCI0eOwMXFBa1bt8bx48cFz2JkaObOnYvr16/Lpo9mRL9+/VIY923btg3m5uZ6Wdomi0ADSNo017JlSzRs2FB2o7lA0sv99OnTeP/+PebMmSPbBjt69Gjkzp1blun1OI7DgQMHEBYWhvXr14stJ1PY2tqiRYsW6NixI1q2bInBgwfjxo0bCAgIwNy5c2V3D2xtbbFjxw7MmjWLjqDICY7j4O/vj8OHD8s2VSwA5M+fH507d8Zff/0luzaUzNChQ1GoUCFZbYpNjTx58gCArPa/eXh4wM3NDU2aNJFlBrBly5ZBoVDI3vxu1apViI+Px8KFC8WWAgCIi4vD9OnT0a1bN4wdOxa7du2CiYmJ2LKyTIcOHcDzvCy9lFJjzJgxKYz7Nm3ahJYtW+qlPtkEGhzH4ciRI0hISECPHj1k+XBI3lQ9f/583L59W2w5OqFQKODr64v9+/fLcq29paUlHQmNiooSW47WcByH0qVLY/fu3Zg7d64sP9a7du2K2rVry9Z8rWbNmujRoweaN2+OyMhIseXoBMdx2LFjB75+/YoLFy6ILUcnOI7DmTNncObMGVksh0wLjuNgbW2NtWvXii0l03Ach127diFXrlyyDFZNTExw+vRpbN++HXv27JGd/mRMTU2xdetWzJkzR9SEOYQQPHnyBI0bN4aXlxf27NmD+fPnw8jISDRNQmJiYgJTU1Ns2LBBbCmCkGzy9/79ewBJ9+/jx4+YMmWKXuqTTaABJKV1u3jxIg4fPoxjx46JLUcnOnTogJ49e6JZs2ZpujNKHScnJ1SrVg2tW7eW5QN66NChyJcvn6xTZHbp0gWOjo6y3Zzv7++P169fw8vLS2w5WsNxHLZv3w5bW1s0b95cUssWtMHKygp9+vSBu7u77NpQMhUqVECrVq1ku98kGTc3N3h7e4stQyuS95FduHAB27dvF1uO1jg7O2PJkiXo27cvjh8/Ltv20717dxQvXly0gC82NhZLly6Fk5MTcuXKhdu3b6NLly6yyy6VHhzHYezYsZg9e7Zs24kqHMchb968NLFJsvN57dq19VKfrAINAKhatSpmzJiBrl27yjLlLcdx2Lp1K/LlyyebvQKacByHU6dO4cGDB7JIr6dJ8jK2EydO4NWrV2LL0Ynke/D8+XNcvnxZbDlaY2dnh1WrVmHkyJH0IScnTExMcO3aNTx8+BADBw6U7ctnw4YN+PnzpyQ3lGaG5OWQUt0Um1nGjx+P79+/y64d/fHHH/jf//6HwYMHyy7lLcdxmDBhAqZOnQo3Nzfs3btXdtcfSDqPc+fOISAgAA8ePDBYvckbvhs0aIAlS5Zg8eLFOH36NEqVKpWtgoxk5syZg+joaBw9elRsKYIwZ84c7Nu3D4QQTJ06Fba2tnrLCia7QIPjOMyZMwfFihWDq6urLB8MJiYmuHLlCh48eIAJEybI8hwKFSqE9u3by9YptmrVqnBxcZH1SGjevHnRs2dPdOrUSZbnMHz4cJQoUUI2ru2aFC5cGBcuXMCuXbtku7k9V65c6N+/P7p16yZL/UCSY/iAAQNkbcRWvnx5AJDdUjyO4zB69GiUKVNGls9SjuMwd+5czJs3D3369MH27dtldw5AUsDXtm1bva4yiIqKQlxcHHiex6dPnzBp0iS4uLigcOHCuHPnDoYNG5Yt9mOkhbm5OaZNm4bu3bvD19cXHz58wNu3b/Hp0yfExsaC53kolUoEBATIIrvooEGDkJCQgEuXLmHr1q1YunSp3gJEWeYbS06xV6JECZw6dQqFChUSW5LWFCpUCCdOnEDLli3RuHFjFClSRGxJWsFxHPbs2QMbGxtZ3gOO43D06FHkzZtXlvqB//PbsLS0lOU5cByHCxcuoGTJkrLUDwB16tTBnj170LVrV1SpUoWufZUTa9euxbZt22R7D4Ckc9iyZQv8/PxQuHBhseVojUKhgJGREY4cOYIqVaqILUcrOI7D+fPnUbRoUVm2IY7jMHnyZJibm2PgwIGwt7eXXT/mOA779u3T6/t4+PDhePToEQoWLIhbt27B0tISW7duhbu7e7bZi5ERc+fOxZcvX9C9e3eYmZmB53kYGRmhYMGCKFWqFKKionD16lVMnToVbdu2FVtuupiamsLDwwOdO3eGkZER+vXrp7e69BJoGGJUxs7ODkOHDkV4eLheOpUhzsHZ2Znu/hcaQ42MDRgwAF+/fhX8HhhCv4mJCQYNGoSwsDDZtiEA8PT0lO09yJs3L4YNG4bv37/L9h60bt0a48aN00vKZ7m3IcBw59CvXz98+fJF8EDDUPrd3d31ksHJEPptbGwwePBgfPv2TbZtyNPTEx8/ftRLZiG5v48B4K+//kLBggXx8eNHzJ49G+3bt4etra1sUt0LdQ9WrFiBwYMH4/PnzzAxMcHv37/x6NEjvHr1CnZ2dti9ezeaN2+ul2XZQrejNWvWYNy4cXBzc9NrRi2OCDzPduPGDbx7907IItOEEAKO4+Di4oKCBQsKVq7cz8GQ+nmeh0KhkK3+7NCG2D1IHbmfg9zbECD/c2BtKPNkh36cjFzvQXbox8nI9R4kw+7B/yF4oMFgMBgMBoPBYDAYstsMzmAwGAwGg8FgMKSP6IHGoUOHoFAowHEcOI7D6tWrxZakNR07dqT6g4KCxJajNQsXLqT616xZI7YcrVAqlejcuTPVny9fPrx48UJsWVozevRoeg4WFhaya0dKpRL29vbUfCwuLk5sSVrTokULeg8MmSZSCL5+/YoyZcpQ/c7OzrJzbI6OjoazszM9h7JlyyIsLExsWVpx//59ql9fLrv6JC4uDtbW1vRZKjePmOvXr8PCwoLegzFjxogtSWtevHiBfPny0XPo0qWL7O7D6tWrqf5FixaJLUdrrl+/TvV36tRJbDlas2rVKqpfoVDg8OHD4goiEmDDhg0EAP1v3759YkvSiq1bt1LtU6dOFVuO1tStW5fq//fff8WWk2l4nieDBw+m2i0tLcnNmzfFlqUTSqWSeHh40HPJkycPefz4sdiytKJXr15U/5kzZ8SWoxW/fv0iJiYmBAApXrw44XlebEmZJiIigjg6OtJrX6FCBfLt2zexZenEt2/fSPny5em5ODo6kt+/f4stK9PwPE+KFStGABBTU1MSEREhtiStOH36NL32vXv3FluOVjx+/JjkyZOH6u/WrRtRKpViy9KJ4OBgYmlpSc9lyJAhsnomvX79mmp3dnYWW47WTJkyherftm2b2HK0Yu/evWrf0xs3bhRbEpFEoEEIIbNmzaIXxsTEhJw9e1ZsSZnm8+fPhOM4AoBUrlxZbDla8eXLF9lqnzNnDm0zxsbGsvu41SQ2NpY0a9aMnlPRokXJ+/fvxZaVaQ4ePEi1jxgxQmw5WiFX7XFxcaR58+aybTOp8e7dO1KkSBF6Ti1atCBxcXFiy8o0w4cPp9oPHTokthytkKv29+/fk6JFi1LtzZo1k1WbSY3Tp08TY2Njek5///232JK0olKlSgQA4TiOfPnyRWw5WiFX7WfOnKEDZgDI7NmzxZZECJFQoMHzPBk0aBC9QFZWVuTWrVtiy8o0cp0V2LZtmyxnYzZu3KgWte/Zs0dsSYIQERFBatWqRc+rYsWKJDw8XGxZmUJ1VsDBwUFWI3C9e/eW3WyMUqkk3bp1U5sFe/TokdiyBOHRo0fE1taWnlv37t1lMzqtOivQp08fseVkGp7nSfHixWU3GxMeHk4qVKhAr3mtWrVkoz0jdu/erfae8/LyEltSplGdFdi+fbvYcjKNXGdjbt68qTYLNnjwYMm8gyUTaBBCSGJiIunYsSO9UPny5SMvXrwQW1amWLBgAdW9evVqseVkmr/++ovqvn79uthyMsWhQ4foLAwAsnLlSrElCcqXL19I6dKl6fnVq1ePREVFiS0rU6iOrt+/f19sOZkiMTGR5M2blw5wxMbGii0pQ3ieJ6NHj6bXOleuXOTatWtiyxKUq1evEnNzc3qOY8aMkcyLMz1iY2OJlZUVAUDs7e1JYmKi2JIyxb1799RmkeRAVFQUcXZ2prpLly4tqxHozLBixQp6fgqFghw+fFhsSZni2rVrVHfHjh3FlpNpVq1aRXUvXLhQbDmZ4vnz58Te3p7q7tSpk6SeO5IKNAghJCYmhjRo0IBesJIlS5LQ0FCxZWXIgwcP1KZt5UBMTAyxsLCgQZ2UGmZaXLp0iZiamtJrPWnSJLEl6YXXr1+TAgUK0PNs27YtSUhIEFtWhqxZs4Zqnj9/vthyMsWVK1eo5s6dO4stJ1MsXryYajYyMiInTpwQW5JeOH78OFEoFPRclyxZIrakTNGpUyeq+erVq2LLyRTz5s2jmteuXSu2nAyJj48nbdq0oZoLFChAXr9+LbYsvTBx4kR6nmZmZiQgIEBsSRmSmJhIP34tLS1JTEyM2JIyRdOmTem1fvjwodhyMiQ0NJSUKFGCam7YsKHkrrXkAg1CCPnx4wepUqUKvXDVqlUjP3/+FFtWuvA8T2+2iYmJ5PUSQsipU6foNe7Xr5/YcjLk3r17xMbGRm1ZghxGOHXl7t27xNraWu0eSf1837x5Q/U6OTmJLSdTTJo0iWreuXOn2HIyRHW5IwCydetWsSXplS1btqidrxyWYezYsYPqnTx5sthyMkWdOnWo5rdv34otJ114nid9+/aleq2trUlISIjYsvSGUqlUW95pY2ND7t27J7asDFG9R/7+/mLLyZCfP3/SfTElS5aU/Pv258+fpGrVqvQaV6lShfz48UNsWSmQZKBBCCEfP34kDg4O9AI2atRIclGaJiNHjqR6fXx8xJaTIUOGDKF6jxw5IracdPn3339JwYIFqV5XV1cSHx8vtiy9c+HCBbUZHDnso1EdJPj06ZPYcjIkOcuRQqEgYWFhYstJl5MnTxIjIyPZTe1nFdWlqUZGRsTX11dsSeny9etXuryzQoUKYsvJkNDQUHp9q1atKracDFFd/29qakouXrwotiS9Ex8fT1q3bk3Pu2DBguTNmzdiy0qXw4cPU71Dhw4VW06G7N+/n+odNWqU2HLSJSYmhri4uFC9Dg4O5OPHj2LLShXJBhqEEPLs2TO6dhoA6dKli6SX95w9e5Zq7dmzp9hy0oXneZqlw9TUVNIpJL9+/UrKlClDr23dunVJZGSk2LIMxoEDB9T2pEh9D9C0adOo1i1btogtJ11evnxJtdavX19sOely/fp1kitXLrUXodRH3ISC53m1gZxcuXKRoKAgsWWlS7169ajeV69eiS0nXf755x+qdfr06WLLSRfVNfQcx5GDBw+KLclgREZGEicnJ3r+ZcuWJV+/fhVbVpr8/v2bDpQVK1ZM8s+rHj160Gt77tw5seWkSWJiIuncuTPVam9vT54/fy62rDSRdKBBSFI+6eR9BADIsGHDJNtY4+Li6FIXOzs7Sa+pv3v3Lr2mrVu3FltOmvz+/VvNI6B8+fKy9QjICuvXr1d7uUrZa+bGjRtUa4cOHcSWky6qGy2lvP5f0yPAw8NDNlmYhEKpVBJ3d3d6Dezs7MiTJ0/ElpUmqvtopJ6won379lRrcHCw2HLSZN++fWrL6DZs2CC2JIOj6TVTu3ZtSQ8UtmrVimqV8vK2hIQE+oy1sbGRbHpknufVVqNYWlpKus8SIoNAgxBC/P391fJJz507V2xJaeLm5kZ1BgYGii0nTVQ9KKT6sI6LiyMtWrSgOosUKULevXsntizRmDlzJr0WJiYmkh1xUSqVdCN7rly5SHR0tNiS0qRRo0b0mkr1ozU1jwA5ZMbSB7GxsWqbNYsVK0Y+fPggtqxUefz4MdXZuHFjseWkSXR0NJ0pK1iwoGQD2LNnz6p5BMyaNUtsSaIhJ68Z1UEyKXuBBAQEUJ3u7u5iy0mTv//+m+o0NjYmp0+fFltShsgi0CCEkF27dqmNZGzatElsSani7e1NNU6YMEFsOWmi6tUgRYMvpVJJunfvTjXa2tpmG48AXeF5ngwcOJBeEysrK3L79m2xZaVK//79qU6prqf//v073e/wxx9/SHKmNDw8nFSsWJFey+zkEaArv379IjVr1qTXRKpeMzzPk1KlStEPAilu0iQkad9P8rX09PQUW06q3Lp1i6YMBkAGDRokyf5qSB4+fKjmNdOjRw9JBonv3r2jGh0dHcWWkybjx4+nOnft2iW2nFTx8vJS+w7evXu32JIyhWwCDUII+d///kcvsEKhkOQG5m/fvtF0jOXKlRNbTqp8/PiRXsfq1auLLScFPM+TMWPGUI3m5uaySRGpbxISEtS8T6TqNXP06FGqcfDgwWLLSZW9e/dSjWPGjBFbTgqioqLU1vlnR48AXfn8+TP5448/1PbXSNFrRtXrRKrLHVWNco8dOya2nBS8ePGC5MuXj2rs2LGjpPdqGpIrV66oec2MHTtWkgFYtWrVqEapblguW7Ys/baU4vLsw4cPq6X6XrFihdiSMo2sAg1CUuaTluLyJFUfEClu0Nm0aZOkp5+XLFlC9WVnjwBdiY6OTuE1I7XsTpGRkcTMzIwAIIULF5bky0/VVVtqWWsSEhJI27Ztqb7s7BGgK69evVLzmmnXrp3k9sVduHCB6uvevbvYclKgVCpJ4cKF6YCO1JJshIaGkpIlS9JrKEWPALHR9JpZunSp2JJSoLrsd/PmzWLLScGzZ8/U2pjUCAgIoO9TQH7+YbILNJRKJenVqxe94Llz55acA/HSpUupvuXLl4stJwWqJke3bt0SW44a27dvV5salHrWIrH48eMHqVy5Mr1OUvSacXV1pfqktsQrPj6e5M6dmz5DpJQqmed50q9fP3rtrK2tyd27d8WWJUk0vWb69+8vqaBWtZ3Z2tpKqp0RkrQkKfnatWnTRmw5avz8+VNtJFyqHgFSQDVrGACyY8cOsSWpcfPmTaqtbdu2YstJwbJly6i+ZcuWiS1HDU3/sN69e0vqGZcZZBdoEJIyn3ShQoUklU/66dOnVJuLi4vYctSIioqiU62FChWS1JpOX19fNY+ABQsWiC1J0vz333+kePHi9HpJzWtm48aNVNvs2bPFlqPGxYsXqbauXbuKLUeNqVOnUm2mpqbkwoULYkuSNJpeM9OmTRNbkhoeHh5U26VLl8SWo8asWbOoNi8vL7HlUGJiYtQSNUjZI0AqzJ8/X20lgJT2ximVSuqDZW5uLrlljg0bNqTX7tmzZ2LLoWj6h7Vu3VpygxWZQZaBBiFJSzNUnUyllE+a53nq+2BkZCSpjYrHjx+n12zQoEFiy6FoegSMHDlSdlG7GDx9+lSyXjMfPnygumrWrCm2HDXGjh1Lte3du1dsOZTVq1dTXRzHkQMHDogtSRb4+Pioec2sWbNGbEmUPXv2UF3jxo0TW44aNWrUoNr+++8/seUQQlJ6BOTNm1dSH39Shed5MmLECHrdpOY1o5rIRErLob99+0YHOMuWLSu2HIqmf5iTk5PkljZmFtkGGoQQEhYWRsqVK0dvRJ06dSSTT3rcuHFUl5QyA3h6elJdJ0+eFFsOIYSQJ0+eEDs7O6rL3d1dUjMtUufGjRtqXjPDhw+XTJCmmh1IKmlIeZ6nG4mNjIzI9+/fxZZECEnyCFD9WF6/fr3YkmTF2rVr1YK0/fv3iy2JEKKe3ax06dKS6Zvv37+n16tWrVpiyyGEJPXNYcOGUV0WFhaS9wiQEomJiZL1mjlx4gTVNWDAALHlUFQzmo4fP15sOYSQJP+w2rVrU11y9w+TdaBBCCFv376lm9kAkJYtW0piaunSpUtUk4eHh9hyCCHS9Df48OEDKVasGL1WTZs2zbEeAVlB02tm3rx5YksihBAye/Zsqmnjxo1iyyGEJAW2qsvNpMC5c+fUPAJmzpwptiRZMmPGDHoNpeQ14+LiQnU9ffpUbDmEEEI2bNhANc2ZM0dsOYQQQubOnUs1GRsbE39/f7ElyY7Y2FjSpEkTeh2l4jWjumxbSn4tqoFZQECA2HKypX+Y7AMNQlLmk+7Zs6fojTg+Pp66TEpls2lwcDC9Ru3btxdbTgqPgJo1a5Jfv36JLUu2qHq4ANLI7nHnzh2qx9XVVWw5hBD1rGZSSBF4+/ZtNY+AgQMHSmbUW27wPE8GDBhAr6WVlRW5c+eO2LLUUrNLJSuQ6j5HKSQbUM2GCEjXy0AO/Pr1S21ZXKVKlSQxc9uuXTuq6ebNm2LLIXFxcXSjdZ48eUTPWqdUKkmPHj3oNbK1tSUPHz4UVZMQZItAgxBCLl++rJZPWgpTYKqGc1LY0Kk62vfPP/+IqiUqKorUr1+f6vnjjz/I58+fRdWUHVi+fDm9pgqFghw9elRUPTzPUwdbMzMzSawx/fPPP+k1evnypahaND0C/vrrL9FfdnInISGBdOjQgV7T/PnzS+I+J+tp0KCBqFoISVqakZwus2jRoqIHtkeOHFFL0fq///1PVD3ZgdS8ZsRexbB582ZJzdqeP3+e6unRo4eoWnieV9s7aG5uTq5cuSKqJqHINoEGIYQcO3ZM7WEldpqyffv2US2jR48WVQshhFStWpXqCQ0NFU1HQkKC2shGgQIFyKtXr0TTk92YMGECvbZS8JoZPHgw1SN24BMWFkafEeXLlxdVy6dPn9Q8Aho0aCD6h0B2ITo6Wi2gLFWqlOheM8n7CaVgCHbkyBF6bYYMGSKqlsDAQDWPgIkTJ4qqJzvx6tUrkj9/frWVDGIOZISGhlIt1apVE01HMqNGjaJ6xN7TpWqLoFAoyPHjx0XVIyTZKtAgJGU+6Z07d4qm5cePH3TdfKlSpUQdNXr79i29JrVr1xZNB8/zpH///lQL8wgQHqVSSXr27Emvce7cucmDBw9E0+Pr60u19O/fXzQdhBCyc+dOSXzQaHoEVK5cmXkECMz379/VvGaqV68u6tJM1QEAb29v0XQQQtR8Wvz8/ETTcf/+feozAoD06tVL9GXP2Y07d+6oLc309PQU9VvE0dGRahFz7wHP83Sgx9jYWFQfqh07dqh9t4q94kRosl2gQQgh8+bNozfMyMhI1Aep6qasx48fi6Zj3bp1VIeYG4WnTZtGdTCPAP0RHx9PWrVqRa+1mF4z0dHRNCtW/vz5Rf2Q6NKlC70mYk1La3oEFC9eXDKpRbMbml4zjRs3Fi3ZxOXLl6kONzc3UTQQkpSZKHm5noWFhWjeO2/evCGFChWi10SuHgFy4Pz582rJJqZPny6aFtUN/2Jm1nv06BHV0bRpU9F0aPqHzZ8/XzQt+iJbBho8z5Phw4fTG2dhYSFaPumVK1dSHYsWLRJFAyFELYvBvXv3RNGg6RHg4+Mjio6cwu/fv1N4zYSFhYmiRXXNvFh9MTY2lo7s5c2bVxS/kcTERLVgJ2/evJLJQpRdefr0qVr6bLG8ZhISEqgOa2trEhcXZ3ANhCR5FqnuCRKDr1+/krJly1IdderUkcT+reyMVLxmQkJCqIaWLVuKooEQQhYuXEh1rFq1ShQNQUFBav5hI0aMEH2/lD7IloEGIUkvdDc3N3oDxcon/erVK6qhXr16Bq+fEEIiIiKoc26xYsVEaciaHgFr1641uIaciFS8ZrZs2UI1iOXcfObMGbUlGoYmNY+AGzduGFxHTkQqXjOqSxrPnj1r8PoJUXee37p1q8Hr1/QIKFeunGgDIDmNNWvWqA32ibEvged5mtLe1NSUREREGFwDIYQ4OzvTa/H69WuD15+af5hUzHaFJtsGGoSknk9ajCUKySlcOY4Txb380KFDai9YQ6PpETBjxgyDa8jJSMFr5vPnzzTQrFKlikHrTkbVNffgwYMGr595BIjLqVOn1JYoiLGE9MCBA7T+kSNHGrx+Qgjdt8JxnMEz/cXFxZGWLVvSa1C4cGHy9u1bg2rI6UyfPp1efxMTE3L+/HmDa1AdcDl8+LDB6//y5Qt9H1WqVMng9Wv6hzVp0iRb+4dl60CDkKR80tWrV6c3tHLlygbPJz158mRa/44dOwxaNyGE9OnTh9Z/+vRpg9atuRFtwIAB2XJqUOo8ePBAbdOlGF4zTk5OtH5D7xfheZ44ODjQl6uhNwWrpnUExN8MnFNRTQYAGH7T5a9fv+igS4kSJQz+LPz333/pudetW9egdWsmqcguHgFyg+d54unpSe+DtbW1wb1m/P39af19+/Y1aN2EELJ9+3Za/5QpUwxa9/fv30mlSpVo/TVq1Mj2/mHZPtAgJCmNZKlSpeiN/fPPPw2aRvLq1au07k6dOhmsXkKSlpDZ29sTIMm8ypBR88uXL9VS63Xo0IF5BIjI5cuX1dJITpgwwaD1z58/X7T1wffv36d1N2/e3KB1Hz16VC3t9vLlyw1aP0OdZcuW0XuhUCjIsWPHDFp/s2bNaP2Gzganuk9uwYIFBq17/PjxtG5zc3Ny+fJlg9bP+D8SEhJI+/bt6f3Inz+/QVPMx8TEEEtLSwKA2NvbG3zJUMeOHem5X7t2zWD1RkdH50j/sBwRaBCS8qPXkPmkxfzYFyvIETu4Y6SO5kevIb1mxPzYFyvI0fQIMHRwx0gdMT96xfzYFyvIETu4Y6QkNa8ZQ370ivWxL1aQI3ZwJyY5JtAgRNxlPGItXxJj2ZYUlqsx0kasZTxiLl8SY9mW5nI15hEgHVJbxmOoD2+xli/9/PlTlGVbYi9XY6SNmMt4xFq+JMayrdSWq+Uk/7AcFWgQIt7GZNUN2cOGDTNInYQQUqFCBQIYbiN6bGwsady4MT1X5hEgTTQ3Jp86dcog9apuyD5w4IBB6vz06ROt01Ab0TU9Alq1asU8AiRGfHy8aBuTxdiQ7ePjQ8/VUBvR/fz8RN+Az0gfsTYmq27Irlixot7rS2bo0KH0XA21EV1zA35O8w/LcYEGIYTs37/f4KlWxUgxa+jUupoeAXZ2dswjQKKIlWpVjBSzhk6tGxYWlsIjQIyUwoyMESvVqhgpZg2dWjcoKEgSKYUZGaOZatXNzc0gS4oMnWJWM7WuIZ7LmimFc6J/WI4MNAgR5+arjp4ZwjRP1Sxw8eLFeq0rNZNE5hEgbcQwj4uNjSXW1ta0PkPsk1I1C9R3m9Q0SWQeAdJHDPO4oKAgWp8hTPMMbRYo1ocrQ3c0zeMMERguWrSI1mcI0zxVs8BWrVrpvT7NQW2xTBLFJscGGoQQMm3aNLXpLH3nk163bh2tb+7cuXqtixCitoTp8ePHeq1r3rx5tC4jIyODLcVhZA0xlrqpBjf63oQbHR1NX54FChTQ6x4JMZfiMLKGoZe6KZVKmpzEwsKCxMTE6K0uQpKSEqh+9OuTnOYRkJ3QXOo2f/58vdb36NEjtXaib/7++29a3/r16/Val+Yy/enTp+u1PimTowMNnudJ//79DbZB5+3bt7Su2rVr660eQgj58eMHMTY2JkBSNgl9jkxobi7euXOn3upiCM/Pnz8NunlfdXPoxIkT9VYPIYT4+vrSuvr376+3ejQ3F+fOndvgqUsZWeP+/fsG3bzfr18/Wpefn5/e6iGEkAkTJtC69Jn8QXNzcfXq1bO9R0B2w5Cb93meJyVLliRA0l7Bnz9/6q0uQghxdHSk5/Xu3Tu91aOZeMjT0zNHLxvM0YEGIUlTyu3ataMNokCBAnpNOVatWjVaV2hoqN7q2bdvH61nzJgxeqvn2LFjoqVLZQjHp0+f6AMfAGnQoIHe0hGHhYXRNlO+fHm91JHM4MGD6TnpM6Wm6oecmZkZ8wiQKZrpiPUZCB89epTWM2TIEL3VQwgh5cqVI0BSatlv377ppY7U0qV++vRJL3Ux9MvSpUvpfVQoFOT48eN6q2v06NG0rv379+utno8fP6oFwPri1atXolkpSJUcH2gQQkhUVJTBTFRmzJhhkJGC7t2703r0leHg8uXLxNzcnNYzfvx4vdTDMAwvX74k+fLlU1s7rq8HpOoHyYsXL/RSB8/zpHDhwvTjX1/r7jU9Ao4ePaqXehiGwVAGi5GRkTSoKVKkiN5GPJ8/f642gKAPUvMIePnypV7qYugfnufJuHHj6P00NzcnV65c0Utd58+fp/X06NFDL3UQor7yYubMmXqp4/Pnz8w/LBVYoPH/CQ8PN0g+6eDgYFpHu3btBC+fkKS14ra2tnQJhz7WGj948IDWAYD07NmTeQRkA27fvq025Ttw4EC9fAAtWbKE1vG///1P8PIJSTqX5DpcXV31Uoe3t7faMoPNmzfrpR6GYdm0aZPafd21a5de6mndujWt486dO3qpY/ny5bSOpUuXCl4+z/NkwIABtA4rKyu9nQvDcCiVStKjRw96X21tbcnDhw8FrycuLo7Y2NgQACRPnjx6G9xq27YtPZebN28KXv6vX79IjRo1aB2VKlVi/mH/HxZoqKC5ia1p06aCb2JTKpWkYMGCBADJlSuXXqLdS5cu0XPw8PAQvPy3b9/SkWKAeQRkNzQ3selj9OfJkye0/EaNGglePiGEzJ49m9axceNGwcs/deoU3QcFMI+A7Iam14y/v7/gdWzYsIHWMWfOHMHLJ4QQFxcXWoc+ssqpztIbIqkKw3DExcUZJMGFu7s7rSMgIEDw8qOioujqi4IFCwo+KBobG0uaNGlCz4H5h6nDAg0NNNPyubu7C94oVUd/Tp48KWjZhBC1Kc89e/YIWnZYWBhd7wskbWpnHgHZD9U9PgDIunXrBC2f53lSunRpAiRlKdPHyE/NmjWp/g8fPgha9o0bN5hHQDbHEF4zHz58oOXXqlVL0LIJSZqpT84iVKZMGcHb6Nq1a6l+juP0usaeIQ6G8JrZvXu3XpdgnzhxQm2WXkgSExOJm5sbLZ/5h6WEBRqpcP36dbV80iNGjBD0AX38+HG9NXp9fsBFRkaqeQSULVvWIG7jDHFYvXq12keE0E7eY8eO1VtArPoBV7NmTUHLfvr0KcmbNy8tv0uXLswjIJuSmJhIOnfuTO913rx5ybNnzwStQ3W5hdCjoKofcOPGjRO0bB8fH+YRkEP4+vUrKVOmDL3XTk5Ogu550wyIhUZ1cPfEiROClavpH5YrVy4SFBQkWPnZBRZopIGvr69aPukFCxYIVrbqNF6hQoUEnTF5+vQp1ezi4iJYufHx8aRVq1a07EKFCpE3b94IVj5Dmqg6GJuamgqaWODixYu07K5duwpWLiGEbNy4kZY9e/Zswcr977//SPHixWnZjRs3Zh4B2ZyYmBjSqFEjvS2LmDVrFi3by8tLsHIJIcTDw4OWfenSJcHKPX/+vNryymnTpglWNkOaaHrNtG7dWtAl0w0bNqRlCxnMqy5XNzc3J1FRUYKVPX/+fKrZyMhI72mq5QoLNNJhx44dastHhMwSpbox6datW4KVq5qWTqhNtql5BNy/f1+QshnSRp9eM/pMWuDq6ko1C7Ux9fv376Ry5cq03OrVq+s97ztDGvz8+VMtNXnlypXJjx8/BClbNWlBmzZtBCmTkKT+lewLkidPHsH61507d4i1tTXV3L9/f7ZsMIdw//59unEbENZrRjVpgZBp8m/evEnLFTIBzz///KP2fcj8w9KGBRoZoJodR8h80qpZTWbNmiVImYQQ0qBBA1quUGlDNT0CAgMDBSmXIQ8SEhLUAmMhvWa6detGy7148aIgZeojbaimR0DJkiWZR0AOIzQ0VC9eM6ppmM3NzQVbknLhwgWqtXv37oKUqekR0K5duxzvEZDTCAgI0IvXjGoa5oYNGwpSJiGEzJw5k5YrVFZATf8wfWRzy06wQCMDeJ5XW0tubm5Orl69muVy9WEe8+3bN9r4y5UrJ0iZqqMMzCMg5xIVFUXq1atH24JQXjN79+6lZQplLKlqhDZ48OAsl5eQkEA6dOhAy8yXLx/zCMihvHjxQi9eM4MGDaJlCmUsqWqEtm/fviyXp+kRUL9+fUGXoTDkw+HDh9U+tIVaPVG2bFn6rSGUsaTQJslXrlxR8w8bN24cm9HLABZoZAKlUqlmgGdra0sePXqU5XJr1apFy3z//n2Wy1PN6T9hwoQsl7dr1y61qcFNmzZluUyGfAkPDycVK1ak7aFmzZokIiIiS2V+//6d7oX6448/BHlgqy718vX1zVJZPM+TgQMH0vKsrKzI7du3s6yRIV80vWYGDRqU5XZ78uRJWp6np2eWNfI8T4MCY2PjLC/zSs0jIDw8PMs6GfLFy8tL7ftg9+7dWS5z/PjxtDwhvGvevXtHy3N0dMxyeQ8fPlTzD+vRowfzD8sELNDIJHFxcaRFixa0gRUpUoS8e/cuS2X+/ffftLwNGzZkWaNqirXLly9nqSx/f381j4C5c+dmWR9D/ujDa6Zx48a0vCdPnmSpLKVSSZd2WFhYZHlpi+q0u4mJCTl37lyWymNkD86ePau2GTqry1+jo6NppsMCBQpk+ePl8ePHVFuTJk2yVFZsbCxp2rQpLa9YsWKCp4tmyBPVbxhjY2Ny+vTpLJUXGBhIy3N3d8+yvvXr1wv2DaPpH9ayZUsSFxeXZY05ARZoaMHv37+Jo6MjbWjly5fP0vTe3bt3aVmtWrXKkra4uDi6Qc/Ozi5L0/maHgHDhg1jU4MMypMnT0iePHlo+/Dw8MjSh9GKFStoWYsXL86StqCgIFpWhw4dslTWunXr1EbshFh+wsg+aHrNrF+/PkvltW/fnpaVVb+ORYsW0bJWrlypczlKpVLNTM3Ozi7LgwGM7APP82TIkCG0fVhaWpLg4GCdy0tISKDvFmtr6yx/yKuaDYaEhOhcDvMPyxos0NCSL1++CJZPmud5UrRoUQIkpQ7NSsM9e/Ys1dSzZ0+dy3n27JmaR0Dnzp2ZRwAjBZpeMyNHjtQ5GH358qXauu+sMG3aNFrWli1bdC7nwIEDah4Bq1evzpIuRvZk1apVtI1wHEcOHjyoc1mqWWymT5+eJV2q+6l0TdzA8zwZMWIELSdXrlzk+vXrWdLFyH4kJiaSTp060XZib2+fpfS0PXr0oGVlZQY5IiKCmJqa0lk4Xd9PkZGRxMnJiWoqU6YM8w/TEhZo6MC///5L8zIDIK6urjqnDhw6dCgt58iRIzprGjlyJC1HV2M1TY+ARo0akZiYGJ01MbI3J0+eVPOaWbhwoc5lVahQgQBJmwCz8hCvUqUK/ejTdbP6hQsX6AsKAJk6darOehjZnylTptC2YmpqqnP2tE+fPtFyqlatqrOer1+/0iC5YsWKOpezYMECqsfIyCjL+50Y2ZeYmBji4uJC24uDgwP5+PGjTmX5+PjQckaNGqWzpsOHD6utytCF+Ph40rp1a1oO8w/TDRZo6Mi9e/fU8kn37t1bp4j51KlTtIy+ffvqpIXneeLg4EDXkf/69UvrMn78+KHmEVCtWjXmEcDIkO3bt6stH9F1FmHSpEm0jB07duhUxps3b9RmGnXh7t27zCOAoRU8z5N+/frRNpMVr5k6derQct6+fatTGap9cvLkyTqVoekRoGufZOQcNL1mqlSpolMSgp8/f9L9oSVKlND5+dunTx+qxd/fX+vjlUol6dWrFy3DxsaG+YfpCAs0soBmPulJkyZpXUZMTAyxtLQkQFLaTF2WKT148IBqaNasmdbHR0dHq/lvlCxZUpA0cIycweLFi2nb0dVr5sqVK2rL9XRhzZo1tIz58+drffyrV69IgQIFaBlt27ZlHgGMTJGa18zr16+1LmfevHm0jLVr1+qkRXUZiy6p2I8fP66WunTJkiU66WDkPEJDQ0mJEiVo29HVa0Y1+cDDhw+1Pj4xMZHY29vTfSO6rMyYOHEi1WBmZkYCAgK0LoORBAs0ssjhw4fV1nLrkk/6r7/+osfrsgZWdYpb27XkCQkJavXny5dPMKM/Rs6A53kyZswY2oZ08ZpJTEyke4OsrKx0ymTVvHlzqkHbkafPnz+TP/74gx5fr1495hHA0IqoqCji7OxM25AuXjP37t2jx7do0UJrDbGxsTT1rr29vdYDV5oeAWPHjmUzegytSM1rRtt2qLr3SZcludeuXaPHd+zYUevjNf3DDh8+rHUZjP+DBRoCsHHjRrVpZm3zSW/bti1L68Hr1q1Lj//3338zfRzzCGAIhVKpVHP51sVrpnfv3vT4M2fOaHXsr1+/aLpRBwcHrT6OIiIiSM2aNWndFStWZB4BDJ0IDw+n+40A7b1meJ6n++R0WQZ7+vRpWnefPn20OlbTI6B79+7MI4ChE7du3aIrNQDtvWZev35Nj3V2dta6ftV9U9u3b9fqWE3/MC8vL63rZ6jDAg2BmDNnDm2YxsbGWn0offnyhc6KVKpUSat6P3/+TI+tXLmyVsfOmjWLajYxMSFnz57V6ngGQ5W4uDi1WYWiRYtqZUR58OBBeuzw4cO1qvvAgQP02BEjRmT6OOYRwBCa9+/f02yCyctZtUnTOXz4cHqstlmshg0bRo89dOhQpo979+4dKVKkiNpsCvMIYGQFTa+Z2bNna3V8pUqVCJCU2OPLly9aHZtsLKvtsadPn1bzD/v777+1qpeROizQEIjU8knfvHkz08frOiuxdetWnWZDVI1sAOYRwBCGiIgINa+ZChUqZNprRnVWonjx4lqNgKlu2stskK9UKomHhwc9jnkEMITi8ePHal4zXbt2zfTsgOqsRO/evTNdJ8/z1EzT1NQ00zMp3759I+XLl6d1Mo8AhlDs3btX7TtDG2Ni1VmJbdu2Zfo4XWdDgoOD1WZhhg4dypYNCgQLNAQktXzSz58/z9SxCxcu1Gmfher+iqCgoEwdc/DgQbV9JatWrcp0fQxGRnz58oWULl2atq+6detm2mumRYsWWu+zSEhIoPs7rK2tM7W/g+d5tZTQzCOAITTXrl1T85oZNWpUpj5cVPdZ5M2bN9Pr21X3d7Rs2TJTxzCPAIa+WblyJW1f2njNXL9+Xad9Fqr7OxYtWpSpY549e0Y3jwPMP0xoWKAhMDExMaRhw4a0wWY2n/TDhw/pMU2bNs10XckO3vnz58/UiNnFixfVPAKmTJmSqboYDG3Q9Jpp06ZNprxm1q5dS4+ZN29epuq6fPkyPaZLly6ZOkY1sDcyMiInT57M1HEMhjacOHFCzWsmsx8+nTt3psdcuXIlU8fMnTuXHrNu3boMfx8fH09cXV3pMQULFtRqNp3ByCyTJ0+m7czU1JRcunQpw2MSExPppnILC4tMZ45q0qQJrSsz+wQ/fvxI7QEAEBcXF+YfJjAs0NADP378IFWrVqUNt2rVqhnmk+Z5nqaFMzY2zpSHhZ+fH62jX79+Gf5e0yOgX79+bGqQoTdCQkLUvGb69OmTYXt7+/Yt/X2dOnUyVY9qGsKdO3dm+PstW7aoTedru1mQwdAG1WQfmV0GsmPHDvr7zKZNr127Nj0mIw8OnufVki/Y2NiQe/fuZaoeBkNbeJ5X87WwsbEhISEhGR7Xt29fesypU6cy/L2qB0fJkiUzfN/8+PGDmrwCzD9MX7BAQ098/PhRLZ90w4YNM4ySR40aRX/v4+OTYR2qe0KOHj2a7m9fv37NPAIYBufSpUtqM2iZMRBTDdI/ffqU4e+T15crFAoSFhaW7m81PQIWL16c6XNhMHRl0aJFajNoJ06cSPf3X79+pe20QoUKGZYfGhqq9rGUEaoGmcwjgGEI4uPjSZs2bdRm0DLymjly5IjanomM2L9/P/396NGj0/2tpn9YiRIlmH+YnmCBhh55/vy52rq/jh07prvu79y5c/S3PXv2TLdsnudplhAzM7N018BregQ4OzszjwCGwTh06JDanqAVK1ak+/vp06fT32bkNP7ixQv62z///DPd3169elXNI2DMmDFsRo9hEHieJ6NHj6Ztz9zcnFy7di3dY+rXr09///Lly3R/q+rkPWPGjHR/+7///U9tzTzzCGAYiqioKLXEN6VLl043K9Tv37/pQFXRokUzfF736NGDln3+/Pk0f5eYmMj8wwwICzT0zM2bNzOdTzouLo4uNcmTJ0+6Mw537tyhZbZu3TrN32l6BFSoUIF5BDAMjjZeMzdu3KC/a9++fbrlqn40pedg/OjRIzWPgG7dujGPAIZB0fSayZMnT7pryBcvXpzp4Lxdu3b0t8HBwWn+bvfu3Wr9cOPGjTqfD4OhC9++fVPzmqlVq1a6GdJatWpFf3v37t00f5eQkEAzvdnY2KSZnpnneTJo0CBapqWlJbl161aWz4uRNizQMABnzpxRy82cXj5pNzc3+rvAwMA0f6fq25FWyjhNjwBtfQ0YDCGZPXs2bYvpec0olUq6zC9XrlwkOjo6zTIbNWpEy0wrNa2mR0Dz5s2ZRwBDFOLi4kizZs0y9Ux+/Pgx/V3jxo3TLDM6OppmtypYsGCaAbSmR8CcOXMEOScGQ1u08ZpRTcWfnq9FQEAA/Z27u3uav2P+YYaHBRoGYs+ePZkaSVJ1pZwwYUKa5dWqVYv+LjWDMU2PgDx58pDHjx8Ldj4MhrbwPE8GDx6sNpKUlteMp6cn/Z2vr2+qv/n+/TvN6FO6dOlUZwo1PQIcHR21cmpmMIQmIiJC7fmd1iwzz/N0yauRkRH5/v17quWdPHmSljVgwIBUf6M5sz5kyBC2bJAhKo8ePVLzmklrlvn9+/dqz++0GD9+fIYz5hs2bFD7Dtu7d69g58NIGxZoGBDNfNKpObd++/aNbgIsW7YsISTphfPr1y8SFhZGfv36RT58+EDLqVGjRooyeJ5X21jOPAIYUiGzXjPHjh1TW25ISMp+oLoMZOzYsSnKiIyMVFsPXKZMGa0dZhkMfaDpNZPWvrkxY8aofRRp9gGe58nAgQPpb44fP56iDM29gp06dWIeAQxJoOk1M3r06FQD4OrVq9PffPz4MdV+UKZMGRqUpxa4M/8w8WCBhoFRzfaRVj5p1UwIdevWVUsRCkBtQ+uQIUNSHK+Z4YR5BDCkhKbXTGrZPiIjI4mZmRkBQKysrEjjxo1T9APVZSBbt25VOz61DCfMI4AhJTQzAabmNXPhwgX69wIFCqToA9bW1nSzrJmZWYpghXkEMKSOptdMapkAZ86cSf9erly5FP1AdbauVq1aKY7XJfshQzhYoGFgUssnrZq/3NfXVy0tbmb+q1+/PvHz8yOE6JazncEwNJr5y6tWraqWv9zX11dtWl2bfqBrznYGw9CEhISoeRv17duXjuj6+voSZ2dnnd8Fuvg5MRhisHXr1jS/W3x9fdXasbb9QBc/J4awsEBDBFJzZL1z5w7NSKI6vZeZ/5KXWjVs2FAnF1oGQwxSG23977//stwPKlasSP8tsy60DIZYXLx4UW20dfTo0bQPqHq+aNMHPDw8SL169ei/lyhRgnz8+FHsU2Uw0mThwoW0vRoZGZE9e/Zk+V3Qvn37DGcNGfqHI4QQMAxOVFQUmjVrhhs3bgAAjIyMQAgBz/OClD969GisXLkSHMcJUh6DoQ9evHiB+vXr49u3bwAAMzMzJCQkCNIPOI7DwYMH0blz5yyXxWDok0OHDsHd3R3Jr2OO4yDUq9ne3h7Xrl1D2bJlBSmPwdAHhBCMGTMGa9asof+mUCgE+yaqW7cuLly4AAsLC0HKY2QehdgCciqWlpbw9fVFyZIlAQBKpVKwDmVsbIx+/fqxIIMhecqWLQs/Pz/kypULABAXFydYPzAzM2MfVwxZ0KVLF0ybNo3+fyHH/9asWcP6AUPycByHlStXomXLlvTfhHoXKBQKLF26lAUZIsFmNEQkPDwc5cqVQ3h4uKDlKhQK2Nvb4+nTp7CzsxO0bAZDaMLDw/HHH3/g169fgpZrZGSEvHnzsn7AkDzh4eGoWLEiwsLCBA0y2LuAISfCw8NRoUIFhIWFCVou6wfiwmY0RGTkyJH4+fOn4OXyPI/w8HCMHDlS8LIZDKEZOXIkIiMjBS9XqVSyfsCQBSNHjkR4eLigQQbA3gUMeTFy5Eh8//5d8HJZPxAXNqMhEn5+fmjbtq1B6nF1ddV7PQyGLrB+wMjpsD7AYLB+kJ1hgYZI/PnnnwgKChJsDWJqGBkZwdnZGVeuXNFbHQxGVmD9gJHTYX2AwWD9IDvDAg0RePToEapUqWLQ+ipVqmSw+hiMzMD6ASOnw/oAg8H6QXaH7dEQgb1798LY2NggdRkbG2Pv3r0GqYvB0AbWDxg5HdYHGAzWD7I7LNAQgeDgYCQmJhqkLqVSieDgYIPUxWBoA+sHjJwO6wMMBusH2R22dMrAEEJga2uLiIgIg9VpY2ODnz9/Ml8NhmRg/YCR02F9gMFg/SAnwGY0DMzv378N2qEAICIiQi/pQxkMXWH9gJHTYX2AwWD9ICfAAg0DEx8fn6PqZTBSg/UDRk6H9QEGg/WDnAALNAyMqalpjqqXwUgN1g8YOR3WBxgM1g9yAizQMDDW1tawsbExaJ02NjawsrIyaJ0MRnqwfsDI6bA+wGCwfpATYIGGgeE4Do6Ojgatr3bt2mzTE0NSsH7AyOmwPsBgsH6QE2CBhgg4OTkZLGe0kZERnJycDFIXg6ENrB8wcjqsDzAYrB9kd1h6WxFgLpgMBusHDAbrAwwG6wfZHTajIQKVK1dG/fr1oVDo9/IbGRnhzz//ZB2KIUlYP2DkdFgfYDBYP8jusEBDJKZOnQqe5/Vah1KpxNSpU/VaB4ORFVg/YOR0WB9gMFg/yM6wQEMk2rRpg27dusHIyEgv5RsZGaF79+5wdXXVS/kMhhCwfsDI6bA+wGCwfpCdYXs0RCQ8PBwVK1ZEeHg4lEqlYOUaGRkhb968ePr0Kezs7AQrl8HQB6wfMHI6rA8wGKwfZFfYjIaI5M2bF+fPn4elpaVgUbyRkREsLS1x/vx51qEYsoD1A0ZOh/UBBoP1g+wKCzREpkqVKrh69Sry5s2b5Y6VHLVfvXrVoBkcGIyswvoBI6fD+gCDwfpBdoQFGhKgSpUqePr0KTw8PABA686V/PuuXbvi6dOnrEMxZAnrB4ycDusDDAbrB9kNFmhIBDs7O+zZswd+fn5wdnYGABgbG6fpXslxHDW4cXZ2hp+fH3bv3s2mBhmyhvUDRk6H9QEGg/WD7ATbDC5RHj9+jL179yI4OBi3bt1CREQE/ZuNjQ1q164NJycndO/eneWEZmRbWD9g5HRYH2AwWD+QMyzQkAGEEERGRiI+Ph6mpqawsrJKM6pnMLIrrB8wcjqsDzAYrB/IDRZoMBgMBoPBYDAYDMFhezQYDAaDwWAwGAyG4LBAg8FgMBgMBoPBYAgOCzQYDAaDwWAwGAyG4LBAg8FgMBgMBoPBYAgOCzQYDAaDwWAwGAyG4LBAg8FgMBgMBoPBYAgOCzQYDAaDwWAwGAyG4LBAg8FgMBgMBoPBYAgOCzQYDAaDwWAwGAyG4LBAg8FgMBgMBoPBYAgOCzQYDAaDwWAwGAyG4LBAg8FgMBgMBoPBYAgOCzQYDAaDwWAwGAyG4LBAg8FgMBgMBoPBYAgOCzQYDAaDwWAwGAyG4LBAg8FgMBgMBoPBYAgOCzQYDAaDwWAwGAyG4LBAg8FgMBgMBoPBYAgOCzQYDAaDwWAwGAyG4Pw/3kUxoEkXCtoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1000x400 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n",
    "x = torch.rand(100,4)*2-1\n",
    "model(x)\n",
    "model.plot(beta=1000, scale=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f5aff4ae",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n",
      "saving model version 0.1\n",
      "saving model version 0.2\n",
      "saving model version 0.3\n",
      "saving model version 0.4\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# to specify a module, you need to specify the start layer (0 in this case),\n",
    "# you also need to specify which neurons belong to this module\n",
    "# the rule might be a bit complicated to explain, but you will observe the pattern with a few examples. \n",
    "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n",
    "x = torch.rand(100,4)*2-1\n",
    "model(x)\n",
    "\n",
    "model.module(0,'[0]->[0]')\n",
    "model.module(0,'[1]->[1]')\n",
    "model.module(0,'[2]->[2]')\n",
    "model.module(0,'[3]->[3]')\n",
    "\n",
    "model.plot(beta=1000, scale=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4d5137cb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n",
      "saving model version 0.1\n",
      "saving model version 0.2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n",
    "x = torch.rand(100,4)*2-1\n",
    "model(x)\n",
    "\n",
    "model.module(0,'[0,1]->[0,1]')\n",
    "model.module(0,'[2,3]->[2,3]')\n",
    "\n",
    "model.plot(beta=1000, scale=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "34a7bce5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n",
      "saving model version 0.1\n",
      "saving model version 0.2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n",
    "x = torch.rand(100,4)*2-1\n",
    "model(x)\n",
    "\n",
    "model.module(0,'[0,1]->[2,3]')\n",
    "model.module(0,'[2,3]->[0,1]')\n",
    "\n",
    "model.plot(beta=1000, scale=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "816a4250",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n",
      "saving model version 0.1\n",
      "saving model version 0.2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n",
    "x = torch.rand(100,4)*2-1\n",
    "model(x)\n",
    "\n",
    "model.module(0,'[0]->[0]')\n",
    "model.module(0,'[1,2,3]->[1,2,3]')\n",
    "\n",
    "model.plot(beta=1000, scale=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1728aea1",
   "metadata": {},
   "source": [
    "Case 2: you can use model.module smartly to create tree graphs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "37e983f7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x800 with 44 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# a tree case\n",
    "seed = 0\n",
    "model = KAN(width=[4,4,2,3,1], grid=3, k=3, seed=seed)\n",
    "x = torch.rand(100,4)*2-1\n",
    "model(x)\n",
    "model.plot(beta=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b6c70991",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n",
      "saving model version 0.1\n",
      "saving model version 0.2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x800 with 44 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# a tree case\n",
    "seed = 0\n",
    "model = KAN(width=[4,4,2,3,1], grid=3, k=3, seed=seed)\n",
    "x = torch.rand(100,4)*2-1\n",
    "\n",
    "model.module(0,'[0,1]->[0,1]->[0,1]->[0]')\n",
    "model.module(0,'[2,3]->[2,3]->[2,3]->[1]')\n",
    "#model.module(2,'[0]->[0,1,2]')\n",
    "#model.module(2,'[1]->[3,4,5]')\n",
    "\n",
    "model(x)\n",
    "model.plot(beta=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "05cf43c8",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 3.84e-02 | test_loss: 4.00e-02 | reg: 1.17e+01 | : 100%|█| 50/50 [00:24<00:00,  2.03it"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "# a formula with a two-level tree structure\n",
    "f = lambda x: torch.sin(x[:,[0]]**2+x[:,[1]]**2)+torch.sin(x[:,[2]]**2+x[:,[3]]**2)\n",
    "dataset = create_dataset(f, n_var=4)\n",
    "\n",
    "model.fit(dataset, steps=50, lamb=2e-3, reg_metric='edge_forward_n');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "d77e8a79",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7hgsREcmO4UJERLJjuBARkewYLkREJDuGCxERyY7hQkREsmO4EBGR7BguREQkO4YLERHJjuFCRESyY7gQEZHsGC5ERCQ7hstraLVaxMXF4e7duwCA6OhopKamKlwV6RP3AeI+UHiSEEIoXYQhysjIwP79+xEeHo6TJ08iJiYGKSkpcHFxgYeHB9q3b4++ffvCx8eHy52aKO4DxH2g6Bguebh58yaCg4Oxfft2lC9fHq1bt0aDBg3g7OyMJ0+e4NSpUzhw4ACys7MRGBiIgIAA2NvbK102yYj7AHEfKCZBz7lw4YKoV6+eKFGihJg2bZqIjo4WqampIjIyUhw8eFAcO3ZMZGRkiFu3bomAgADh5OQkhg4dKlJTU5UunWTCfYC4DxQfw+UZsbGxokWLFqJkyZJiy5YtQq1WCyGEuHHjhihZsqSwtLQUXl5eIi4uTmi1WpGVlSWWLVsmnJ2dxdSpU4VGo1H4N6Di4j5A3AfkwXB5xldffSVsbGzE8uXLn9tBbty4IVxcXAQA4eHhIeLi4nIfy87OFpMmTRLu7u7ir7/+UqJskhH3AeI+IA9eLfavmJgYrF69Gs2aNUPPnj2hUhXsT2NpaYmAgACULl0aK1asgOAQltHiPkDcB+TDcPnXyZMnERUVhV69esHW1hYajea5nxxCiJceK1myJD744APs3bsXCQkJyv0SVCzcB4j7gHwslS7AUPz999+wtrZGw4YNMWHCBJw/fz73sfT09Nxr2h89eoTu3bvD0vL//3TDhw9HixYtsHDhQty/fx8lSpTQe/1UfNwHiPuAfBgu/4qJiYGtrS1cXFxw/PhxREZG5vm89PR07Nu377l/69SpE5o3bw6tVstvLEaM+wBxH5APw+VfNjY20Gq1UKvVUKlUL/W1arXa3P9+8TFJkpCVlQUAsLKy0n2xpBPcB4j7gHwYLv/y9PREamoq7t27h2+++Qbx8fG5j0VHRyMgIACpqakoU6YMFi5cCEdHx9zHfXx8cOjQIdja2qJMmTJKlE8y4D5A3Afkw3D5l6+vL6ytrbFz507MmjXruW8lN2/ezO1btbe3R9u2bZ/rT1Wr1dixYwd8fHxQrlw5vddO8mjcuDFUKhX3ATPGzwH58Gqxf9WqVQvNmjXDxo0bcePGjQJfSiiEwPHjx7Fnzx706NEDNjY2Oq6U5JaZmYmVK1eiV69eyMzMxIYNG4q0D/zxxx/QaDS4efOmjismXeHngHwYLv+ysbHBhAkTkJCQgAkTJiApKem1O5YQAtHR0QgODoaXlxe6d++up2pJDsnJyQgLC0ONGjUwatQoNGjQAIsXL0ZiYmKR9gE3Nzc8ePAAjRo1Qrdu3XDy5Ek9/SYkF34OyEjfd20aMrVaLaZNmyZsbW1F9+7dRVRUlNBqteL27duiRo0aoly5csLX11ckJCQIrVYrLl++LNq2bSvKly8vjhw5onT5VEBPnjwR06ZNE2XLlhUODg5i8ODB4vLly0KI4u8DmZmZYs2aNaJevXrCzs5OvP3222Lfvn1Cq9Uq/FtTQfFzQB4MlxdkZGSIKVOmCAcHB+Hj4yMWLFggLl++LG7duiXu3r0rbt26Jf755x8xffp0UblyZeHp6Sn27t2rdNlUAPfu3RPjx48XJUqUEK6urmLcuHEiKirqpefJsQ+o1WqxefNm0axZM2FnZydatGghtmzZwnmnjAQ/B4qP4ZIHtVottm3bJvz8/ISdnZ1wc3MTtWvXFm+++abw8fERLi4uws3NTQwYMEBcu3ZN6XLpNa5evSqGDBkiHB0dRZkyZcSUKVPE48eP832NXPuAVqsVe/bsEe3btxd2dnaifv36Ijw8XGRlZcn9a5LM+DlQPFzPJR9paWk4deoUIiIicO3aNaSnp8Pd3R1vvPEGWrVqherVq8PCwkLpMukVzpw5g9DQUGzevBmlS5fGp59+ikGDBsHZ2bnA25BzHzh+/DhCQ0OxY8cOVKpUCWPGjEHfvn25BoiB4+dA0TBcCkEIwdXmDJwQApGRkQgJCcGePXvg4eGBcePG5c4VJcf2i7sPXLhwAXPmzMHPP/+MEiVKYOTIkRg2bBhcXFyKXR/pHj8HCobhQiZBCIEdO3YgJCQEx48fR506dRAUFISuXbs+N/+TIbl16xbCwsIQHh4Oa2trDB48GKNHj+YNeGQSGC5k1NRqNX755ReEhobiwoULaNq0KYKDg/H2228bzbfLR48eYeHChVixYgWysrLQp08fjB07FlWrVlW6NKIiY7iQUcrIyMD333+PuXPn4tatW2jfvj2Cg4PRokULowmVFyUmJmLZsmVYtGgREhIS8NFHH2H8+PGoVauW0qURFRrDhYxKUlISVqxYgQULFiAmJgZdu3bF+PHjUb9+faVLk01aWhrWrl2LsLAwREVF4Z133kFQUBB8fX2VLo2owBguZBRiY2OxaNEiLFu2DKmpqejVqxfGjRuH6tWrK12azmRnZ+PHH3/EnDlzcOXKFfj7+yMoKAht2rQx2rMzMh8MFzJoUVFRmDdvHlavXg2VSoVBgwbh008/Rfny5ZUuTW+0Wi22bduG0NBQ/PXXX6hfvz7Gjx+Pd999l5fAksFiuJBBunLlCmbPno0NGzbAyckJI0eOxIgRI+Dm5qZ0aYoRQuDAgQOYPXs2Dh48CC8vLwQGBqJHjx6wtrZWujyi5zBcyKD89ddfCA0NxW+//YayZctizJgxGDhw4HPrZhBw6tQphIaGYuvWrahQoQI+/fRT9O/fHw4ODkqXRgSA4UIGQAiBQ4cOISQkBPv374enpyfGjx+PTz75hFOXv8alS5cwd+5cbNy4ES4uLhgxYgSGDx9u9uu3k/IYLqQYrVaL7du3IyQkBCdPnkS9evUQFBSEDz74gGMJhXTnzh2EhYVh7dq1sLS0xMCBAxEQEMBFq0gxDBfSu+zsbPz8888IDQ3FpUuX0KJFCwQHB6N9+/a8CqqYYmJisHjxYixfvhwZGRno1asXAgMDUa1aNaVLIzPDcCG9SU9Px9q1azF37lzcvXsXb7/9NoKDg9GsWTOlSzM5SUlJ+Pbbb7Fw4UI8efIk936gunXrKl0amQmGC+lcYmIili9fnvtBl3PnOT/odC89PR3ff/895s2bhzt37qBDhw4ICgpC8+bNlS6NTBzDhXTm8ePHWLhwIZYtW4aMjAz06dOHXTQKyc7Oxi+//ILZs2fndkUGBQWhXbt27IoknWC4kOzu3LmDefPmYc2aNbC0tMTgwYM5uGwgtFot/vjjj+cuohg/fjzef/99XkRBsmK4kGwuXbqE0NBQ/Pjjj3BxccGoUaN4WayBEkLg8OHDmD17Nvbt2wdPT08EBgby8m+SDcOFiu3kyZMICQnJvaFv7NixvKHPiJw+fRqzZ8/OvXH1008/xYABA3jjKhULw4WKJGcqkpCQkNypSIKCgtC9e3dORWKkrly5gnnz5mH9+vVwcnLKvSHTnKfcoaJjuFChaLVa/P7777mTKDZo0ABBQUGcRNGEREVFYf78+Vi9ejUkScq9IbNChQpKl0ZGhOFCBZKdnY2NGzdi9uzZuHLlClq2bIng4GBO/27CYmNjsWTJEixduhRpaWno2bMnxo4dCy8vL6VLIyPAcKF8paWlYfXq1Zg3bx7u3buHzp07Izg4GG+++abSpZGeJCUlYeXKlbkLtL3//vsICgrCG2+8oXRpZMAYLpSnhIQELFu2DAsXLkRCQgK6deuG8ePHo3bt2kqXRgrJyMjADz/8kLu0dNu2bY1+aWnSHYYLPefRo0dYsGABvv32W2RlZaFfv34YO3YsqlatqnRpZCDUajU2b96M0NBQXLhwAU2bNkVQUBA6duzIkKFcDBcCANy6dQtz585FeHg4rK2tMXToUIwePRplypRRujQyUEII7Ny5E6GhoTh27Bhq166N8ePHo2vXrrC0tFS6PFIYw8XMnT9/HrNnz8bPP/+MEiVKYPTo0Rg6dChcXV2VLo2MhBACR44cQWhoKPbs2QMPDw+MHTsWvXr1gq2trdLlkUIYLmbq+PHjCAkJwfbt21GpUiUEBgaib9++sLe3V7o0MmJnz57F7NmzsXnzZpQuXRoBAQEYNGgQnJyclC6N9IzhYkaEENi7dy9CQkIQERGBmjVrYvz48fj4449hZWWldHlkQq5du4Z58+bhhx9+gL29PYYPH44RI0agZMmSSpdGesJwMQMajQZbtmzB7Nmz8ffff6Nx48YICgrCf//7X6hUKqXLIxN2//59LFiwACtXroQQAv3798eYMWNQsWJFpUsjHWO4mLCsrCxs2LABs2fPxrVr19C6dWsEBwejVatWvKqH9CouLg5Lly7F4sWLkZKSgh49eiAwMBA1atRQujTSEYaLCUpNTcWqVasQFhaG+/fv491330VQUBAaN26sdGlk5lJSUrBq1SrMnz8fDx8+zN03GzRooHRpJDOGiwl59tthUlISunfvjvHjx6NmzZpKl0b0nMzMTGzYsAFz5szBjRs30KZNG4wfPx4tW7bkWbWJYLiYgOjoaMyfPx/fffcd1Go1+vfvj7Fjx6Jy5cpKl0aUL41Gg19//RWhoaH4559/0KRJEwQFBeGdd97heKCRY7gYsRs3bmDOnDlYt24d7OzsMGzYMIwaNQqlSpVSujSiQhFCYM+ePQgNDcWRI0fg4+ODcePG4aOPPuKVjEaK4WKEzp07h9mzZ+OXX35ByZIlERAQgMGDB8PFxUXp0oiK7c8//0RoaCh27tyJKlWqYOzYsejduzfs7OyULo0KgeFiRI4ePYqQkJDcg27cuHE86Mhk5cwe8csvv8Dd3R2jR4/GkCFD4OzsrHRpVAAMFyMghEDnzp2xb98+1KpVC0FBQfjoo484fxOZhRs3bmDevHlYt24dbG1tsXbtWnTo0EHpsug1GC4G5K233oKFhQWWLVv20mNqtRqSJL12tUdPT09dlUekc23atMG3336b52NCCKjValhaWr7yirKVK1fi66+/1mWJVED86mtAEhMTcfnyZQYEma3ExMQi7/+//PIL+vXrJ29BVGS81s/AbNy4EadPn1a6DCKj069fP3h7eytdBv2LZy4GpnPnznB3d0dcXJzSpRAZDY1GA39/f6XLoGfwzMXASJIEHx8faLVapUshMhp9+vTBb7/9pnQZ9AyGiwHau3cv+vTpo3QZREZjy5YtsLa2VroMegbDxQDZ2dnh999/By/kI3q9f/75BytXrlS6DHoBw8VAbd++HZs3b1a6DCKD17p1a3z88cdKl0EvYLgYKH9/f3aNEb1GRkYGfH19OZOyAWK4GLC5c+fi8OHDSpdBZLDatm2LLVu2KF0G5YGXIhuwIUOGwNXVFQkJCfxmRvSCjIwMZGVlcdZkA8UzFwMmSRLWr1+Pb775RulSiAzOW2+9hYMHDypdBr0Cw8XAderUCbt378bff/+tdClEBmPHjh1o2rQp7O3tlS6FXoHhYgR27dqFoUOH4tChQ7w8mcyaEAJHjhzB9OnTMWfOHKXLoXxwzMUIWFlZ4eDBgxg5ciQ2bNiAjz76CDVq1ICLiwusra1hYWEBlUoFSZI4NkNGT6vVIiEhAffu3YMkSbC1tYUkSYiJicGWLVtw584dHDhwgPu6geOU+wakUaNGOHXqVL7POXPmDHbs2IEbN24gPT0dwNOxGSsrK5QpUwYhISH6KJVIJxo3bozatWsjMzMTlStXhhACGRkZEEKgZMmSeOutt+Dn55dvsDB0DAPDxYCEhoYWePK9nLUtsrOzkZWVhczMTGRlZeGjjz7ScZVEuhMaGorq1aujVKlSRV4Mr2nTpjJXRUXBcDEg+TWFEAJCiNd2ffFbGxmz130cFeQ44DFgGDigb0ByDpi8fs6ePQsHBwecPXs23+cRGbP89m1JknDu3Dk4OTnh3LlzPAYMHMOFiIhkx3AhIiLZMVyIiEh2DBciIpIdw4WIiGTHcCEiItkxXIiISHYMFyIikh3DhYiIZMdwISIi2TFciIhIdgwXIiKSHcOFiIhkx3AhIiLZMVyIiEh2DBciIpIdw4WIiGTHcCEiItkxXIiISHYMFyIikh3DhYiIZMdwISIi2TFciIhIdgwXIiKSHcOFiIhkx3AhIiLZMVyIiEh2DBciIpIdw4WIiGTHcCEiItkxXIiISHYMFyIikh3DhYiIZMdwISIi2TFciIhIdgwXIiKSHcOFiIhkx3AxAkIIxMfHP/e/ROaGx4FxYbgYsISEBMyfPx9eXl5o06YNsrKy0KZNG3h5eWH+/PlISEhQukQinXv2OHjrrbeQkZGBt956i8eBgZME498g7dq1C127dkVaWhoAPPctTZIkAIC9vT02bdqEDh06KFIjka7xODBeDBcDtGvXLnTq1AlCCGi12lc+T6VSQZIkbN++nQcWmRweB8aN4WJgEhISULFiRaSnp+d7QOVQqVSws7PDvXv34OrqqvsCifSAx4Hx45iLgVm7di3S0tIKdEABgFarRVpaGsLDw3VcGZH+8DgwfjxzMSBCCHh5eeHmzZuFuhJGkiRUq1YN165dy+2HJjJWPA5MA8PFgMTGxqJUqVLFer27u7uMFRHpH48D08BuMQOSkpJSrNcnJyfLVAmRcngcmAaGiwFxdHQs1uudnJxkqoRIOTwOTAPDxYC4u7vD09Oz0P3FkiTB09MTbm5uOqqMSH94HJgGhosBkSQJo0ePLtJrAwICOIhJJoHHgWnggL6B4fX9RDwOTAHPXAyMq6srNm3aBEmSoFLl3zw5dyZv3ryZBxSZFB4Hxo/hYoA6dOiA7du3w87ODpIkvXSan/NvdnZ22LFjB9q3b69QpUS6w+PAuDFcDFSHDh1w7949hIWFoVq1as89Vq1aNYSFheH+/fs8oMik8TgwXhxzMQJCCBw4cABt2rTBvn370Lp1aw5aktnhcWBceOZiBCRJyu1LdnV15QFFZonHgXFhuBARkewYLkREJDuGCxERyY7hQkREsmO4EBGR7BguREQkO4YLERHJjuFCRESyY7gQEZHsGC5ERCQ7hgsREcmO4UJERLJjuBARkewYLkREJDuGCxERyY7hQkREsmO4GIHs7GwkJCQAAB49eoSkpCRotVpliyLSMx4HxoXLHBuwqKgobNq0Cdu3b8eFCxcQHR0NNzc3lC5dGg0aNMBHH32Edu3awdHRUelSiXSGx4FxYrgYoMzMTISHh2PmzJl48OABqlevjkaNGqFy5crQarW4desWTp06hXv37qFp06aYOXMm3nzzTS77SiaFx4FxY7gYmPT0dEyePBlLlixBrVq1MHHiRLRr1w5arRbp6ekAAAcHB6jVavz+++/45ptvkJycjKVLl6JLly48sMgk8DgwAYIMhkajEdOmTRPW1taia9eu4v79+0Kr1QqtVitGjx4tSpcuLUqXLi1mzpyZ++/Xrl0TrVu3FmXLlhVHjhxR+lcgKjYeB6aBA/oG5M8//8TcuXPRvHlzLF26FOXKlcv9BpaUlISYmBjExMQgJSUFACBJEjw9PbFq1SqULl0awcHBSExMVPJXICo2HgemgeFiINRqNcLCwiCEwIwZM1CyZMkCndpLkoQqVapg6tSpOHPmDLZu3aqHaol0g8eB6WC4GIg7d+7g4MGDaN26NZo0aVKoPmNJktCuXTvUq1cPP/30E9RqtQ4rJdIdHgemw1LpAuips2fPIj4+Hh07dsTFixdx7dq13MeEELhz507u/798+TI2bdqU+/9VKhVatmyJNm3aIDw8HPHx8ShVqpRe6yeSA48D08FwMRC3b9+GSqWCl5cXwsPDMW/evOceF89c1Ldp0yZs3rw59/9bW1tj7969qFmzJhITExEXF8eDiowSjwPTwXAxEFlZWVCpVLCxsYEQ4rmDKC/PPp5zl7KNjQ00Gg27A8ho8TgwHQwXA+Hu7g61Wo3Hjx+jUqVKaNy48XOP37p1C0+ePAEAlCtXDhUqVMh9zMrKCo6Ojnj06BFsbGx4pzIZLR4HJkSZK6DpRZGRkcLW1lZMmDBBZGVlifT09NyftLQ00atXLwFAABATJkx47vH09HSRnZ0tevXqJerXry9SUlKU/nWIioTHgeng1WIGonbt2vD09MTWrVuRmJgIW1vb534sLCxyn2tpaQkbG5vcx2xsbHD37l0cOHAAbdq0gYODg4K/CVHR8TgwHQwXA2Fvb4/atWvjypUrWLFiBTQaTYFfm3NvQEZGBvr06aPDKol0y9XVFX379sW1a9d4HBg5hosBOHv2LAYPHoyYmBhUrVoVoaGh+P333ws0nbharcbq1auxevVqjBgxAnXq1NFDxUS6M2DAADRu3LhIx8F3332HBg0aoFq1anqolPLDcFFQcnIyZs+ejcDAQLi6umLNmjX46aef4ObmhiFDhmDp0qW5U1zUrl0bbdu2Rdu2beHp6QkAiI+Px6xZsxAUFIR33nkH48ePh0rFJiXj5u7ujkWLFhXpOKhbty4SEhLQrVs3REREKPlrmD3OiqwAIQT279+PJUuWIDs7G0OGDEGnTp1y70Y+deoURowYgbNnz8LX1xe9e/dGkyZN4ObmBiEEHj9+jCNHjmDdunW4ePEievbsiVmzZsHNzU3h34xIPidPnkT79u2RkpKCZs2aFfg4SE9Px8yZM3H06FG0a9cOQUFBKFmypNK/jtlhuOhZdHQ0wsLCcOrUKbRq1QojRoyAu7v7S8+LiYnB8uXLER4ejrt378La2hqOjo4QQiAlJQWZmZlwcHDAihUr8O6778La2lqB34ZId3bv3o0+ffqgU6dOOHz4cJ7HgSRJaNCgAQICAtClS5fc40AIgV27dmH27NnIyspCQEAAPvjgA57Z6xHDRU/UajU2bdqEtWvXwsXFBZ9++imaNm362tc9fvwYp0+fxtmzZxETEwMrKytUqVIFVlZWCAoKwpo1a9ClSxc9/AZE+qPRaNC+fXu4ubnhp59+QmxsbJ7HQePGjVGrVi3Y29vnuZ3ExETMnz8fW7ZswRtvvIHJkyfndqeRbjFc9ODKlSuYM2cObt68ia5du6Jfv36ws7Mr9nY/+ugj3L17F0eOHIGlJe+HJdOxadMmBAQEYOvWrWjYsGGxt/fXX39hxowZuHfvHvr164dBgwbxbF/HGC46lJaWhtWrV+PXX3+Fp6cnxo0bB29vb9m2f+7cObRu3RoLFixAz549ZdsukZKys7PRsmVL1KpVCytXrpRtu1lZWVi9ejVWrlyJ8uXLY9KkSWjSpIls26fnMVx05OjRo1iwYAGSkpIwYMAAvP/++8/dACaXgQMH4sSJEzh16hRsbGxk3z6Rvq1ZswaTJ0/Gvn37UKNGDdm3f+vWLUyfPh1///03unTpgrFjx8LFxUX29zF3DBeZxcbGYtGiRYiIiICvry8CAgJQtmxZnb3fjRs30KxZM0ydOhXDhw/X2fsQ6UNaWhqaN2+O//znP5g/f77O3ker1WLLli2YP38+LCwsMH78eLz99tuFWj+G8sdwkYkQAr///ju+++472NjYYNSoUfjPf/6jl511zJgx2LFjB06fPs3J+sioLVy4ELNnz0ZkZCQqVaqk8/d78uQJQkNDsXv3bjRt2hT/+9//ULFiRZ2/rzlguMjg1q1bmDt3Li5evIjOnTtj0KBBcHJy0tv7P3jwAI0bN8aYMWMQHByst/clklNiYiKaNm2KDz/8EF999ZVe3zsyMhIzZ87EkydPMGzYMPTq1YsXyRQTw6UYMjMzsW7dOvz444+oUKECAgMDUbduXUVq+eKLL7BmzRqcPn2aN4yRUfr666+xevVqHD16VJFFvtLT07Fs2TL88MMP8PT0xOeff87plIqB4VJEp0+fRlhYGB49eoRevXqhe/fusLKyUqyeJ0+eoGHDhujduzemT5+uWB1ERRETE4NmzZphyJAhmDBhgqK1XL58GV999RUuX76Mjz/+GCNHjuQMy0XAcCmkxMRELFu2DLt378Ybb7yBsWPH6qVvuCBmz56NuXPn4sSJE+w3JqPy2Wef4ffff8exY8f02qX8KhqNBhs3bsSSJUvg5OSECRMmoHXr1kqXZVQYLgUkhMCePXuwdOlSCCEwdOhQdOzY0aCuLklJSUGjRo3QoUMHLFiwQOlyiArkzp07aNmyJSZOnGhwVzxGR0dj1qxZiIiIQOvWrTFhwgSULl1a6bKMAsOlAO7fv4+wsDCcPn0abdq0wYgRI+Dq6qp0WXlavnw5Jk+ejKNHj8LLy0vpcohea9SoUTh69CiOHj0KW1tbpct5iRACe/fuRUhICDIyMjB69Gh8+OGHnKfsNRgu+VCr1fjpp5/w/fffw83NDWPGjDH4O3ozMzPx5ptvomHDhli9erXS5RDl69KlS2jXrh1mzZqFXr16KV1OvpKTk7FgwQJs2rQJderUweeff84vcPlguLzCxYsXMXfuXNy5cwcfffQR+vTpY5DfqvKyYcMGjBo1Cvv27UP9+vWVLofolfr27Yvr16/j0KFDRnPp75kzZ/DVV1/h7t276NOnD4YMGcLZMfLAcHlBamoqVq5cid9//x3e3t4IDAxE9erVlS6rUDQaDfz8/FC+fHls2rRJ6XKI8nTy5Em89957WLJkCd59912lyymUrKwsrF27Ft999x3KlCmDSZMmwdfXV+myDArD5V9CCERGRmLhwoVIS0vDgAED8N577xltv+q2bdvQt29f/Pbbb/Dz81O6HKLnCCHQtWtXpKSkYOfOnUZ7nN25cwczZszAqVOn0KlTJwQGBqJEiRJKl2UQGC54umbKggULcPToUTRv3hwBAQGK3MQlJyEE2rVrB5VKhV27dhnUVW1E+/fvR+/evfH999/jrbfeUrqcYhFCYOvWrZg3bx4AIDAwEJ07dzb7Y86swyVn8rpVq1bB3t4eo0ePhp+fn8nsFIcPH8b777+PdevW4e2331a6HCIAT4+7jh07wtHREZs2bTKZ4y0uLg5z587Fjh070KRJE0yaNAmVK1dWuizFmG243LhxA3PmzMHVq1fRpUsXDBw40CTvwn3//ffx6NEjRERE6GTKf6LC+u233zBixAhs2bLF4K++LIo///wTX3/9NR4/fozBgwejT58+is7eoRSzC5fMzEysXbsWP//8MypXrozAwEDUrl1b6bJ05vTp02jXrh2WLFmCjz/+WOlyyMyp1Wr85z//gaenJ8LDw5UuR2cyMjKwfPlyfP/99/Dw8MDkyZPxxhtvKF2WXplVuJw8eRJhYWF48uQJ+vTpg27duhnN5Y/F0bdvX5w7dw7Hjx/n0q6kqHXr1mHixInYs2cPfHx8lC5H565evYrp06fjwoUL+PDDDzF69GizWRbDLMIlISEBS5Yswb59+9CgQQOMHTsWFSpUULosvbl69SpatGiBmTNnYtCgQUqXQ2YqIyMDzZs3R/PmzbFo0SKly9EbrVaLn376CYsWLYK9vT0mTJiAt956y2TGml7FpMNFCIGdO3di+fLlkCQJw4cPR7t27Uy+UfMyatQo7NmzB6dPnzbJsSUyfEuXLsWsWbNw+PBhVKlSRely9O7Ro0f45ptvcPDgQbRs2RKfffYZypQpo3RZOmOy4RIVFYV58+bh7NmzaN++PYYNG2bW62RHRUXhzTffRFBQEAIDA5Uuh8xMcnIymjZtiv/+97+YNWuW0uUo6sCBA5g1axZSUlIwcuRIdO/e3Wjv88mPyYWLWq3Ghg0bsG7dOpQuXRpjx45Fw4YNlS7LIPzvf//D+vXrcfr0abi5uSldDpmRkJAQLF++HEePHjXpb+sFlZKSgkWLFuHnn3+Gj48PPv/8c9SoUUPpsmRlUuFy/vx5zJkzB/fv38fHH3+MXr16cc6fZ8TGxqJBgwYYOHAgpkyZonQ5ZCYeP36M5s2bo3///vjf//6ndDkG5dy5c5g+fTpu3ryJ3r17Y8iQIbCzs1O6LFmYRLikpKRgxYoV2LZtG2rVqoXAwEB4eHgoXZZBmjlzJhYuXIi//voL5cqVU7ocMgOff/45fv75Zxw/ftysu6ZfRa1WIzw8HN9++y1KliyJ//3vf2jevLnSZRWbUYeLEAKHDh3C4sWLkZGRgUGDBuG///2vSfZfyiUpKQmNGjVCly5dMGfOHKXLIRMXFRUFPz8/jB8/HqNHj1a6HIMWFRWFGTNm4MSJE+jYsSPGjRsHd3d3pcsqMqMNl0ePHmHBggU4duwY/P39MWrUKJQsWVLpsozC4sWLMXXqVBw7dgzVqlVTuhwyYWPGjMHBgwdx9OhR2NvbK12OwRNCYMeOHZg9ezaEEBgzZgzeffddo7zC1ejCRaPR4Ndff8WqVavg5OSEgIAAtGjRQumyjEpGRgYaN26MZs2aYcWKFUqXQybqypUraNOmDaZPn45+/fopXY5RSUhIwLx587B161Y0bNgQkydPRtWqVZUuq1CMKlyuXbuGOXPm4Pr163jvvfcwYMAAfhsqovDwcIwdOxYHDx5E3bp1lS6HTNDAgQNx8eJFHD582Czn1pLDiRMnMGPGDDx8+BADBw5Ev379jGaWDaMIl/T0dKxZswabNm2Ch4cHAgMDzWLqCF1Sq9Vo3rw5qlWrho0bNypdDpmYv//+G507d8aCBQvQtWtXpcsxapmZmfjuu++wZs0aVKpUCZ9//jkaNGigdFmvZfDhcvz4ccyfPx8JCQno27cvunbtahbzgenDli1bMHDgQGzbtg3NmjVTuhwyEUIIdOvWDXFxcdi9ezdn45bJ9evXMX36dJw7dw4ffPABAgIC4OzsrHRZr2Sw4RIXF4fFixfj4MGDaNy4McaMGcNLZ2Wm1WrRpk0b2NnZYfv27UY5aEiG5/Dhw+jRowdWr16N9u3bK12OSdFqtdi0aRMWLFgAW1tbBAUFGeyUVgYXLkIIbN++HStWrIClpSVGjBhhFpO8KWXfvn3o1q0bNmzYwA8CKjYhBDp16gRLS0v89ttvPG515PHjxwgJCcG+ffvQokULfPbZZyhfvrzSZT3HoMLl7t27mDNnDs6fP4+OHTti6NChBn3aZwqEEHj33XeRmJiIAwcO8B4hKpbt27djyJAh+OWXX9jVqgeHDh3CrFmzkJiYiOHDh+OTTz4xmG5IgwiXrKwsrF+/Hhs2bECZMmUQGBiI+vXrK12W2Th58iQ6duyIb7/9loOvVGRqtRpt2rRBxYoV8cMPPyhdjtlITU3FkiVLsHHjRtSoUQOff/65QVzwZBDhsmrVKvz444/o0aMHPvnkE6O51M6U9OzZE3fu3EFERAS7MqhIcs5adu7cycvbFXD+/HlMnz4dUVFR+OOPPxTv9dFbuHz66adQqVQYP378S49pNBpkZ2fD1tY2322Y0wJfutCpUycsXLgwz8e0Wi0AvLJbLD09HX/88Uee7Ufm47333kPFihUxduzYPPeV7Ozs197Twnn/imfAgAGYOnXqc/926dIl7Nu3D1WrVkWrVq1eu9plpUqVdFkiAEBv1/SmpKTg7t27DAgFJSYmFmm6FyEE/Pz88NNPP+mgKjImSUlJqF+/PqZMmYLg4GDUqVOHZ7p6lpKS8lw4REVF4ccff8SYMWNw9uxZhIWFYd68eYrfYK7XG0a++uorXLlyxeTWLTB14eHhGDx4ML8YEABg0KBBaN26NRYsWIDs7Gx88skn8PX15V34CunZsyf27dsHKysr1K1bF40aNUL//v3x3XffwcnJSbG69HppkK+vL8aOHavPt6Ri0mg0mDlzJvr27at0KWRAPD09ERYWhsDAQOzfvx8DBgzAzp07c7tXST8eP36Mvn37PhfsPj4+mDVrFgYNGoTo6GjFatNruEiShJIlS8IAriGgAurevTsOHjzIrg96iSRJqF69Oj7//HPMmTMHf//9NwYMGIBHjx4pXZrZ6NmzJwYMGPDSv3t4eGDevHn4/PPPsXXrVkU+c/V+U8OSJUuwZs0afb8tFcGjR48ghEDZsmWVLoUMmCRJKF26NCZOnIjg4GD069cP58+fV7ossxAXF/fKL37ly5fHkiVLcPPmTYSFhem3MCgQLo6Ojli3bp2+35aKoFWrVpzUkgpMkiTUqlULP/30E8aOHYsbN24oXZJJU6vVGDduXL7Psba2RkBAANLS0nD27Fk9VfaUIrdjf/DBB0hNTS3Ua7Zv366jaigvmzZtwpgxYzhJKBWak5MTfv/9d3Tr1g0ZGRlKl2Oypk6diu7du7/2eZIk4X//+x+GDBmih6r+nyLhMmLECIwaNarAz3/w4IHRLZRjzFJTU/HFF1/ofWck02FnZ4fff/8dXbp0UboUk7Vjx44Cj4VKkoRhw4bhyZMnOq7q/ykSLpIkIT4+vsCDTKNGjUKtWrV0XBUBT2+mbNu2LQ4dOsRBfCqWChUq4P3338dvv/2mdCkEoF+/fujdu7fe3k+xWQqXLl1aoLEXIQQyMjL4QacHWq0W/fr1w5QpU1CyZEmlyyETMGzYMAQHB/MKUR0o7BQ7kiTp9Uo+xcKlXLlyWLdu3Wt3uh07drxyyhKST1JSEnr16oVOnTqhQ4cOSpdDJkKSJOzYseO1A89UOOnp6Zg3b16hX/fxxx/rLegVnV99zpw5+P7771/5uBACCxYsgKenpx6rMi9ZWVnYunUrevTogZEjR+Ljjz9WuiQyMZ6enoiIiIBGo1G6FJPx1VdfwdXVtdCvGzdunN6mcVI0XOrUqYODBw8iJibmpceEEJg7dy7mzp2rQGWmTQiB+Ph4hIeHo0+fPjh//jzWr1+PFi1aKF0amahdu3Zh6NChSpdhMnbt2lWkoQILCwu9TRyq+HWmS5YswZAhQzBlypTcK8LS0tLw448/wt7eHrVr11a2QBOTlpaGZcuW4fjx43jnnXewePFiuLm5cUyLdMrNzQ3Hjx+HEIL7msLefPNNvbyPXsMlr74+GxsbzJ8/HwsWLICFhQUsLS2RnJwMPz8/dOzY8bnXcKcsvq5du6J///4YMWIEbGxscv+9oP2wbAMqap/9rl27sHz5cgwbNkzmisyPjY1NscZO9HEc6209l/Xr1+ONN9545eNarRYJCQnQaDRwdXXNc4ZVnsUUT1hYGDw9PVGmTJkib0Nf33rIMC1cuDDf5Ytfd2YSHx+Pdu3a6aI0s7F69WqULFkSlStXLvI28vsslovewiW/t3n8+DGePHmCmjVr5rsNfmsunvzaIC0tDRqN5rVTdLMNzFt++1B2djbi4+Ph5uaW78wO3IeKJ782SEpKQmxsLKpUqQILC4tXPk8fbaC3AX1Jkl75Exsbi1GjRmH//v35Po+KJ7+/7e7du+Hh4YETJ06wDeiV8ts3evfujR49ekClUnEf0qFX/V21Wi369++PsLAwWFpaKt4Gil4tlqNWrVpo0aIFVq9eDbVarXQ5Zundd99F3bp1MW3aNN7wRoUWERGByMhITJgwId9vzKQ7W7duxe3btzFy5EilSwFgIOECAP3798fDhw85QaVCVCoVJk+ejGPHjmHv3r1Kl0NGRAiBWbNmoWHDhmjfvr3S5ZilrKwsLF++HO3bt3/t8IK+GEy4eHh4oG3btli3bh1nUlVImzZt0KxZM0yfPp0rClKB/fHHHzhz5gw+++wzdnsp5KeffsLjx48xYsQIpUvJZTDhAjydWC0pKQm//vqr0qWYJUmS8Pnnn+P8+fPYsmWL0uWQEdBoNAgJCcF//vMfNG/eXOlyzFJqaipWrlyJ9957r1hXkMnNoMKlbNmy6Ny5MzZu3Ijk5GSlyzFLvr6+6NChA77++mtkZ2crXQ4ZuE2bNuHatWuYOHGi0qWYrXXr1iE9Pd3glsgwqHABgF69eiE7Oxs//vij0qWYrUmTJuH27dv44YcflC6FDFhWVhZmz56NTp06oV69ekqXY5bi4+Px/fffo3v37ihdurTS5TzH4MKlRIkS6Nq1KzZv3qzXhW3o/9WuXRtdu3ZFaGgox7/olcLDwxEdHY3g4GClSzFbK1euhCRJ6N+/v9KlvMTgwgV4Oi20tbU1vzkraOLEiYiNjcWKFSuULoUMUEpKChYsWICPP/4Y1atXV7ocs/Tw4UP8/PPP6Nu3L1xcXJQu5yUGGS6Ojo7o0aMHtm3bhujoaKXLMUseHh7o06cPwsLCkJiYqHQ5ZGC+++47JCcnIzAwUOlSzNby5cvh5OSETz75ROlS8mSQ4QIA7733HlxdXbF69WqlSzFb48ePR0ZGBhYtWqR0KWRA4uLisHTpUvTt2xfly5dXuhyzdOvWLWzduhUDBw6Evb290uXkyWDDxcbGBn369MH+/ftx69YtpcsxS2XKlMGwYcOwbNkyPH78WOlyyEDkfNkYPXq0wpWYryVLlqBMmTLo2rWr0qW8ksGGCwB07NgR5cuXx8qVK5UuxWyNHj0aVlZWmDNnjtKlkAGIjo7G6tWrMXToULi7uytdjlm6cOEC9u3bh2HDhsHa2lrpcl7JoMPF0tIS/fr1w59//onz588rXY5ZcnV1RUBAANasWYM7d+4oXQ4pbO7cuXB0dDS4eyrMyaJFi1CtWjV06tRJ6VLyZdDhAgCtW7eGp6cnVq5cyQkVFTJkyBC4urrim2++UboUUtDNmzfx448/IiAgAI6OjkqXY5ZOnjyJ48ePY+TIkVCpDPvj27Crw9MpSQYOHIhz587h1KlTSpdjluzt7REUFISffvoJly9fVrocUkhISAjKlCmDPn36KF2KWRJCYOHChahTpw5atWqldDmvZfDhAjxd/bBOnTr47rvvePaikN69e6Ny5cqYMWOG0qWQAv755x9s3boV48aNe255bNKfgwcP4vz58xg9erRRTBBqFOEiSRIGDx6M69ev49ChQ0qXY5asra0xceJE7Nixg2eQZmjWrFmoXr06PvzwQ6VLMUtarRaLFy+Gr68vmjRponQ5BWIU4QIAderUga+vL1atWsUFxRTStWtX+Pj44KuvvuIZpBn5888/cfDgQQQHB+e7fDHpzvbt23Hz5k2MGjVK6VIKzGjCBQAGDhyI+/fvY9euXUqXYpYsLCwwefJkREZG8gzSTAghMHPmTNSrVw/vvPOO0uWYpaysLCxbtgxt2rRB7dq1lS6nwIwqXDw9PfHWW28hPDwcmZmZSpdjljp06IAmTZpwOWQzsXfvXvz1119cCExBmzdvxqNHjwxqIbCCMKpwAZ4uKBYfH4/ffvtN6VLMUs6CYmfPnsXWrVuVLod0SKPRYNasWWjevDn8/f2VLscspaWlYcWKFejcuTM8PDyULqdQjC5cKlSogLfffhvr169Hamqq0uWYpRYtWuCtt97CjBkzOP5lwrZs2YLLly/zrEVB69evR0pKCoYNG6Z0KYVmdOECAH369EFmZiZ+/vlnpUsxW59//jmuX7/ORd1MVHZ2NmbPno2OHTuiYcOGSpdjlhITE7F27Vp89NFHKFu2rNLlFJpRhou7uzvef/99/Pzzz0hISFC6HLNUr149vPfee/jmm284/mWC1q9fj6ioKC4EpqA1a9ZACIGBAwcqXUqRGGW4AECPHj1gYWHBBcUU9L///Q8PHz7EqlWrlC6FZJSWloZ58+aha9euqFGjhtLlmKWYmBhs2LABvXr1QokSJZQup0iMNlycnJzQvXt3/P7773j06JHS5ZglT09P9OzZE/PmzUNKSorS5ZBMVq5cifj4eIwfP17pUszWt99+Czs7O/Tu3VvpUorMaMMFAD744AM4OTlh7dq1SpditoKCgpCSkoIlS5YoXQrJIDExEUuWLEGfPn1QqVIlpcsxS3fv3sWWLVswcOBAODg4KF1OkRl1uNja2qJXr17YvXs3p4NXSPny5TFo0CAsWrQIsbGxSpdDxbR48WKo1WoEBAQoXYrZWrJkCUqVKoVu3bopXUqxGHW4AEDnzp1RpkwZ9vsr6NNPP4UkSQgLC1O6FCqGmJgYrFy5EoMGDUKpUqWULscsXb58Gbt378aQIUMMeiGwgjD6cMlZUCwyMpLTwSvE3d0do0ePxqpVq3D//n2ly6EimjdvHmxtbY3uTnBTsnjxYlSpUgVdunRRupRiM/pwAYA2bdqgatWqXA5ZQcOGDYOTkxNCQkKULoWK4M6dO1i/fj1GjRoFJycnpcsxS6dPn8aRI0cwYsQIWFhYKF1OsZlEuKhUKgwYMACnT5/G6dOnlS7HLDk6OiIwMBDr16/HtWvXlC6HCik0NBTu7u7o37+/0qWYpZyFwGrWrIk2bdooXY4sTCJcAKB58+aoVasWFxRTUL9+/VC+fHl8/fXXSpdChXDp0iVs2bIFgYGBsLW1VbocsxQZGYmzZ89i9OjRBr98cUGZxm+BpxMqDho0CFeuXEFkZKTS5ZglGxsbTJw4Eb///jvOnj2rdDlUQLNmzUKVKlXQvXt3pUsxS1qtFosWLULjxo3RtGlTpcuRjcmECwC88cYbaNy4MVatWgWNRqN0OWapW7du8Pb2xldffaV0KVQAJ0+exN69e7kQmIJ27dqFa9euGc3yxQVlUuECPF1Q7O7du9izZ4/SpZglCwsLTJo0CQcOHOAZpIHLWQisdu3a+O9//6t0OWYpOzsbS5YswX/+8x/UrVtX6XJkZXLh4u3tjZYtW2Lt2rXIzs5Wuhyz1KlTJzRo0IALihm4AwcO4Pjx45g4caLJ9PMbmy1btuDBgwcYOXKk0qXIziT3qAEDBiA2NhZbt26FEAKxsbG4ffs2YmNj+WGnB5Ik4YsvvsBff/2FnTt3sg0MwIttkLMQmK+vL1q3bq10eWbhxTZIT0/HihUr8M4776B69epKlyc/YaKmTZsm6tWrJzw8PASA3B9PT08RFhYm4uPjlS7R5HXq1El4eHiIatWqsQ0UEh8fL8LCwoSnp+dzbVC2bFnh4uIi9u3bp3SJJu9VbVCqVClRuXJlceHCBaVL1AmTDJedO3cKe3v75xoy50eSJCFJknBwcBA7d+5UulSTtXPnTmFra8s2UNDOnTuFg4ND7t87r7ZgG+iWObeByYXLzp07hYWFhVCpVHk2ZM6PSqUSFhYWJtmoSmMbKI9toDxzbwNJCNPpAE9ISEDFihWRnp4OrVb72uerVCrY2dnh3r17cHV11X2BZoBtoDy2gfLYBiY2oL927VqkpaUVqDGBpzcvpaWlITw8XMeVmQ+2gfLYBspjGwAmc+YihICXlxdu3rxZqKuRJElCtWrVcO3aNZO6gUkJbAPlsQ2UxzZ4ymTCJTY2tlhrUMTGxsLd3V3GiswP20B5bAPlsQ2eMpluseKu4Z6cnCxTJeaLbaA8toHy2AZPmUy4ODo6Fuv1XMOi+NgGymMbKI9t8JTJhIu7uzs8PT0L3VcpSRI8PT3h5uamo8rMB9tAeWwD5bENnjKZcJEkCaNHjy7SawMCAkxiAE1pbAPlsQ2UxzZ4ymQG9AFeW24I2AbKYxsoj21gQmcuAODq6opNmzZBkqTXzvKqUqkgSRI2b95sMo1pCNgGymMbKI9tANOcuDK/+Xyenddq165dSpdqstgGymMbKM+c28Akw0WIpzORzp8//6WZSD09PcX8+fNFQkKC0iWaPLaB8tgGyjPXNjCpMZe8CCFw4MABtGnTBvv27UPr1q1NZsDMWLANlMc2UJ65tYFJjbnkRZKk3H5MV1dXk25MQ8U2UB7bQHnm1gYmHy5ERKR/DBciIpIdw4WIiGTHcCEiItkxXIiISHYMFyIikh3DhYiIZMdwISIi2TFciIhIdgwXIiKSHcOFiIhkx3AhIiLZMVyIiEh2DBciIpIdw4WIiGTHcCEiItmZdLhotVrExcXh7t27AIDo6GikpqYqXJV5YRsoj22gPHNsA5Nc5jgjIwP79+9HeHg4Tp48iZiYGKSkpMDFxQUeHh5o3749+vbtCx8fH5NfDU4pbAPlsQ2UZ85tYHLhcvPmTQQHB2P79u0oX748WrdujQYNGsDZ2RlPnjzBqVOncODAAWRnZyMwMBABAQGwt7dXumyTwjZQHttAeWbfBsKEXLhwQdSrV0+UKFFCTJs2TURHR4vU1FQRGRkpDh48KI4dOyYyMjLErVu3REBAgHBychJDhw4VqampSpduMtgGymMbKI9tIITJhEtsbKxo0aKFKFmypNiyZYtQq9VCCCFu3LghSpYsKSwtLYWXl5eIi4sTWq1WZGVliWXLlglnZ2cxdepUodFoFP4NjB/bQHlsA+WxDZ4ymXD56quvhI2NjVi+fPlzjXPjxg3h4uIiAAgPDw8RFxeX+1h2draYNGmScHd3F3/99ZcSZZsUtoHy2AbKYxs8ZRJXi8XExGD16tVo1qwZevbsCZWqYL+WpaUlAgICULp0aaxYsQLCtIaf9IptoDy2gfLYBv/PJMLl5MmTiIqKQq9evWBrawuNRvPcTw4hxEuPlSxZEh988AH27t2LhIQE5X4JI8c2UB7bQHlsg/9nqXQBcvj7779hbW2Nhg0bYsKECTh//nzuY+np6bnXkz969Ajdu3eHpeX//9rDhw9HixYtsHDhQty/fx8lSpTQe/2mgG2gPLaB8tgG/88kwiUmJga2trZwcXHB8ePHERkZmefz0tPTsW/fvuf+rVOnTmjevDm0Wq1JfFtQCttAeWwD5bEN/p9JhIuNjQ20Wi3UajVUKtVL/ZxarTb3v198TJIkZGVlAQCsrKx0X6yJYhsoj22gPLbB/zOJcPH09ERqairu3buHb775BvHx8bmPRUdHIyAgAKmpqShTpgwWLlwIR0fH3Md9fHxw6NAh2NraokyZMkqUbxLYBspjGyiPbfD/TCJcfH19YW1tjZ07d2LWrFnPfSO4efNmbr+mvb092rZt+1xfplqtxo4dO+Dj44Ny5crpvXZT4evrCysrK7aBgngcKI9t8P9M4mqxWrVqoVmzZti4cSNu3LhR4Mv4hBA4fvw49uzZgx49esDGxkbHlZoerVaLCxcu4MiRI3B3d8eGDRvYBgop7nGwe/dueHl54eLFi0hLS9NxtaaJn0X/zyTCxcbGBhMmTEBCQgImTJiApKSk1zaqEALR0dEIDg6Gl5cXunfvrqdqTUNaWhr279+PGTNmYMWKFcjMzERwcDASExPZBgop7nHg6emJbt264cKFC/j5559x4MABPHz4UE/VmwYbGxsEBwfzswgwnbnF1Gq1mDZtmrC1tRXdu3cXUVFRQqvVitu3b4saNWqIcuXKCV9fX5GQkCC0Wq24fPmyaNu2rShfvrw4dOiQyUy5oGtRUVFi/fr1Yvz48SIwMFCsW7dO3LlzRwhRvDY4cuSIwr+ZaZCjDbKyssTFixfFpk2bxKpVq8Svv/4qLl++LLKzsxX+7QyfWq0Wjx8/FhMmTDD748CkZkXOzMzE0KFDsW7dOnh7e2P48OFo3749bGxsYGFhAY1Gg5SUFPz222/49ttvYWVlheXLl6NVq1bQarVQqVSwsLBQ+tcwOBqNBmfOnEFkZCRu3boFV1dX+Pn5oWnTps8NSAJP22DWrFkIDQ1F5cqVC9wGbdq0Uei3Mz1ytkF0dDQuXryIqKgoWFlZwcvLCzVr1oSzs7MCv5lhy8zMRHJyMlQqFWxsbDB79uwCtcHy5csRHx+Pn376CW+//bbSv4ZsTCpcbt68iZEjR6JUqVK4desW/vrrL9jZ2aFcuXJwcHBAcnIyHjx4AAsLC7z33nv47LPPUL16dQBPxw40Gg0kSYKFhYXJra1QFAkJCTh69Cj+/PNPJCcnw9vbG/7+/qhdu3a+01poNJrcAc2TJ0/C3t4e5cuXf20bkHyebYMXj4OkpCQ8ePAAlpaWBW6D1NRUXL58GVevXkVGRgYqVKgAHx8fVKxYkccKgJSUFKSnp8PGxgZOTk6QJCnfNnj2OGjdujVu3LiBLl26YMqUKSbz9zSZcElOTsbw4cNhb2+PhQsXQqPR4NSpU4iIiMC1a9eQnp4Od3d3vPHGG2jVqhWqV6/+0lmK+HdKBiEELCwsCjwvkCkRQuDGjRuIiIjAP//8AysrK7z55pvw8/Mr9OWRaWlpGDZsGPbv34+2bdsWqA1IXmlpaS8dB/Hx8Th58iR2796Nhg0bFqoNNBoNbt26hcuXL+Px48dwdHREzZo14e3tbRKD0IWl1WqRlJSE7OxsODo6ws7O7qXn5NUGLx4Hu3fvxuTJkxEcHIyPP/5Ygd9EfiYRLlqtFpMmTcKlS5ewdOnSPC/jE0IU+BuBRqMxu26yzMzM3APg4cOHKFOmDPz9/dGkSZNifWi0atUKjRs3xuzZswvVBqQb4t/B4zfffBPffvst3nnnnSJv6/Hjx7h8+TJu3boFAKhWrRp8fHzg7u4uV7kGLSsrC8nJyQAAZ2fnAt/4+KrjYPbs2fjpp5+wfPlyNGjQQNZalWAS4bJ69Wr88MMPmDlzJpo0aSLLNs2lmywmJgaRkZE4ceIEMjMzUbduXfj7+6N69erF/p0fPXqE+vXrY+nSpXjvvffkKZhk0bJlS7Ro0QIzZ84s9rYyMjJw9epVXL58GampqShdujRq1qyJqlWrmuyXs9TUVKSlpcHa2hpOTk6y9HKo1WqMGDECt27dwg8//IDSpUvLUKlyjD5cjhw5gi+++AIDBw7EJ598Iuu2TbWbTKvV4uLFi4iIiMCVK1fg6OiIZs2aoXnz5rJOlrd582aMHDkS//zzD0qWLCnbdqn4Jk2ahMOHDyMiIkK2bQohEBUVhUuXLuHBgwewtbVFjRo1UKNGDTg4OMj2Pkp6thvMwcFB9mWJ4+Li0LNnT5QpUwbffvstrK2tZd2+Phl1uERFRWHEiBFo1KgRvvzyS52dXZhKN1lqaiqOHTuGI0eOIC4uDlWqVIG/vz/q16//3OyschkzZgzOnz+PvXv3yr5tKp6dO3di0KBBOHbsGCpWrCj79hMTE3Hp0iVcv34darUaVapUQc2aNY36zvPs7GwkJSUBKFw3WGFduHABAwcOxLvvvovPPvtMJ++hD0YbLmlpaRg5ciQAYPHixbJ/g3iRMXeTRUVFISIiAqdPnwYANGzYEP7+/qhUqZLO3lMIgUaNGuVeAUOGJTExEXXr1kVISIhOb9rLzs7GjRs3cOnSJSQkJMDV1RU+Pj7w9PQ0qskZ09LSkJqaKms3WH62bNmCr776Cl988QXeffddnb6Xrhjl3GJCCISEhCA2NhZLlizRebAAT2cwzbm8UK1WG3w3mVqtxpkzZxAREYE7d+7Azc0Nb7/9Npo2baqXLopbt24hOjoaLVu21Pl7UeG5uLigbt26iIyM1Gm4WFlZoWbNmqhZsyaio6Nx+fJlHDt2DKdOnUL16tXh4+MDFxcXnb1/cWm1WiQnJyMrK0sn3WCv8t577+HChQuYOXMmqlevjtq1a+vlfeVklOGyYcMGRERE4KuvvtLpt+8XSZIES0vL3JXjcsZiDElCQgKOHDmCP//8EykpKahZsyYGDRqEWrVq6TUMDx8+DCsrK/j6+urtPalw/P39sXHjRr1dxVeuXDmUK1cOqampuHLlCq5cuYJLly6hfPny8PHxQaVKlQyqR+DZbjAXFxe9j38EBQXh2rVrCAoKwrp16+Dm5qbX9y8uo+sWO3nyJD777DP06tUL/fr1U6wOQ+omE0Lg+vXrufem2NjY5N6botQVJwMGDEBcXBy2bNmiyPvT6+Wctezduxc1a9bU+/trNBrcvn0bly5dyr1npkaNGvD29oatra3e63lWTjeYlZUVnJ2dFeuliImJQc+ePeHh4YGlS5ca3JfZ/BhVuERHR2P48OGoVasWZsyYofi3HKWvJsvMzMTJkycRERGBR48eoWzZsvD390fjxo0VvaFNo9GgVq1aGDp0KAIDAxWrg/KXmZmJWrVq4bPPPsOgQYMUreXJkye4dOkSbt68CQDw8PCAj4+P3q8yfLYbzN7e3iCucvv7778xdOhQdO/e3aiOJ6MJl8zMTIwePRrp6elYsmQJnJyclC4pl76vJnv06FHuvSnZ2dm596Z4enoqHrgAcObMGbz99tv4/fffZbvviHSjR48esLa2xtq1a5UuBcDT4zznnpmUlBSUKlUKPj4+erlnJqcbTAgBZ2dng7oMeOPGjQgNDcWMGTPQsWNHpcspEKMYcxFCYM6cObh37x4WL15sUMECILdb7NmzGLk/5LVaLc6fP4/IyEhcvXoVjo6OaNWqFZo1awZXV1dZ36u4Dh8+DAcHB9SvX1/pUug1/Pz8sGDBAqjVap1cjl5YNjY2qFu3LurUqYN79+7h0qVLOHz4ME6cOAFvb2/UrFlTJ2cT6enpSElJUbwb7FU+/vhjXLhwAdOmTUO1atXg7e2tdEmvZRRnLps2bcKSJUswefJktG7dWulyXkkX3WQpKSk4duwYIiMjkZCQAA8PD/j5+eGNN94wiA+DvHTr1g22trYIDw9XuhR6jXPnzuGdd97Br7/+arBnmUlJSbh06RKuXbsGtVqNSpUqoVatWrLcMyOEQHJyMjIzM2FnZ/fSLN+GJCMjAwMGDEBKSgrWrVtn8DNTG3y4nD17FuPHj0fXrl0xbNgwpcspEDm6ye7evZt7b4pKpUKjRo3g5+enkxve5JSRkYEaNWpg8uTJGDx4sNLl0GtoNBrUrVsXgwYNMvj+/OzsbNy8eROXLl1CfHw8XFxc4OPjg+rVqxfpnhm1Wo2kpCRotVo4OTkZxcSbDx48QM+ePVG7dm0sWLDA4M6wnmXQ4fL48WMMGzYMHh4e+Oabb4zqSomiXE2WnZ2Nv//+G5GRkbh79y7c3d3RokULNG3aVG/X1xdXREQEunXrhgMHDihyBRIV3uDBgxEXF4dNmzYpXUqBPXz4EJcuXcKdO3dgaWmJ6tWro2bNmgXuIs7pBrO0tISzs7NRfbYcP34co0aNQv/+/TFixAily3klw+xXwdMP2ilTpsDa2hqTJ082qsYHXr7p0tLS8pUBExcXhyNHjuDYsWNITU2Fj48PhgwZgpo1axr0N5O8REREoFSpUqhRo4bSpVAB+fv744svvkBqaqpBXB1VEGXLlkXZsmWRlpb23D0z5cqVy71nJq9j58VuMAcHB4O4CKYwfH19MXLkSCxcuBC1atVCq1atlC4pTwZ75jJnzhzs2bMHCxYsMIrBq/yo1WoIIZ7rJhNC4OrVq4iMjMT58+dhY2ODpk2bokWLFihVqpTCFRddx44d4enpicWLFytdChXQzZs30bJlS4SHh+Ott95Supwi0Wq1uffMxMTEwMHBIXedmZx7ZoyxG+xVhBCYOHEijh49iu+//x5Vq1ZVuqSXGGS4bNu2DfPmzUNwcDA6dOigdDmyyOkmy8zMxOnTpxEZGYmYmBiUL18e/v7+aNSokUFd+lgUiYmJ8PHxwdy5c3U6pQjJSwgBX19fdO7cGV988YXS5RTbkydPcPnyZdy4cQNCCHh4eMDDwwN2dnawsLAwum6wV0lLS0Pfvn2h0Wjw/fffG9xZp8GFy8WLFzF27Fh06tQJAQEBSpcjm4cPH+Lw4cM4fvw41Go1GjRogJYtW8LDw8PoTstfZceOHRg4cCBOnTqFChUqKF0OFcK4ceNw7tw57NmzR+lSZJNzz8yZM2cQHx+PsmXLon79+vD09DSJcAGAO3fuoHfv3mjSpAlCQ0MNqhvdoMIlLi4Ow4YNQ7ly5TBnzhyDvdS2oLRaLf755x9ERETg+vXrcHZ2RvPmzdGkSZPcb0+GtDMU18SJExEREYEjR44oXQoV0q+//orRo0fjzJkzJrP2jkajQVJSEtRqNRISEnD79m3cu3cPNjY2uffMGPKlxwUVERGBMWPGYMSIERg4cKDS5eQymE9vtVqNadOmAQC++OILow6W5ORk/Pnnnzh69CgSEhJQrVo19O3bF/Xq1cv9xpQz+aVWqzXq3/VZERER8Pf3V7oMKgI/Pz8ATxffM9Yp3p+VmZmJ5ORkqFQqlChRAqVKlYKXlxeSkpJw+fJlXLlyBf/88w8qV66MmjVronz58kbbg+Dv748hQ4Zg6dKlqFmzJlq0aKF0SQAM6Mxl0aJF2Lp1K+bOnWuU00sLIXDnzh1ERETgzJkzUKlUaNy4Mfz8/F7ZRSSEgFqtNojJL4vr/v37aNy4MVauXFmsddlJOW3atEHDhg0RGhqqdClFJoRASkoKMjIyYGNjAycnpzyPK7VanXvPTFxcHJydnXPvmTHGsU+tVovAwECcOXMG69atM4j74QwiXPbs2YNZs2YhICDA6L41ZWdn4/Tp04iIiMC9e/dQsmRJ+Pn54c033yzQvSlKT34pl40bNyIwMBAXL140uOloqGC+/PJL7Nq1C3/++adRftHJ6QbTaDRwdHQs8MzKjx49yr1nRqVS5d4zI+eS3/qQnJyM3r17w8bGBmvWrIGdnZ2i9SgeLteuXUNAQABat26NoKAgo9mpnzx5kntvSnp6Onx8fODv74+aNWsW6Xcw9qWUR44ciRs3bmDnzp1Kl0JFtHfvXvTr1w9HjhxBlSpVlC6nUJ7tBnN2di5SV3NaWhquXr2KK1euIC0tDWXLloWPjw8qV65sNF/6bty4gb59+6Jly5aKzxyvaGd/YmIivvzyS1StWhVjxowx+GARQuDKlSuIiIjAxYsXYWdnB19fX7Ro0aLYg6A5Zy0598QYUzeZEAIRERH4+OOPlS6FisHX1xcWFhaIiIgwqnBJSUlBenp6vt1gBWFvb4/69eujXr16uHPnDi5duoQDBw7A3t4eNWrUQI0aNRQ/G3gdT09PfPnll5g4cSJq1aqFXr16KVaLYuGi1Woxffp0ZGRkICwszKD7OdPT03HixAlEREQgNjYWFSpUwMcff4yGDRvKWvezK10aw1LKOa5cuYLHjx9zMN/IOTk5oUGDBoiIiFD0Q6mgnr0azNHRUbYPfpVKlXtvTHx8PC5duoR//vkHZ8+eRdWqVeHj46PYInwF0a5dO1y8eBHz589HzZo10bhxY0XqUKxbbMWKFfjxxx8RGhqKBg0aKFHCa0VHRyMiIgKnTp2CWq1G/fr14e/vj6pVq+r8rMKYuslWrFiB6dOn48qVK4qvIEjFM2fOHKxevRrnzp0z6C82WVlZSEpKKlY3WGHf79q1a7h8+TKSkpLg7u4OHx8fVKtWzSCPT41Gg1GjRuHatWv44YcfUKZMGb3XoEi4HD58GFOnTsWwYcPw0Ucf6fvt86XRaHDu3DlERkbixo0bcHFxQfPmzdGsWTO9T3FtSEsp56dPnz5IT0/Hzz//rHQpVEzHjx9H165d8ccff6Bu3bpKl5On1NRUpKWlwdraGs7Ozno9LoQQePDgAS5duoSoqChYW1vn3jNjaOtMJSQkoFevXihRogRWrlyp994hvYfL7du3MXLkSDRr1gyTJk0ymA/MpKSk3HtTEhMTUb16dfj5+aFu3bqKfjMx9KvJsrOzUatWLYwePdqkZlQwVzntGRgYiOHDhytdznO0Wi2SkpKQnZ0tazdYUSUnJ+Py5cu4evUqsrKyUKlSJfj4+BjUPTOXL19G//798fbbb+Pzzz/Xa116DZeUlBSMGDEC1tbWWLRokeJdKEII3L59GxERETh79iwsLCzQpEkT+Pn5ybIQkZwMtZvs5MmT6NKlC/744w+uPGkievfuDa1Wix9++EHpUnJlZWUhOTkZAODs7Fyk9Vt0Ra1W49atW7h06RKePHkCZ2dn1KxZE15eXgYxlrxt2zZ8+eWX+Oyzz/Dhhx/q7X31NqAvhMDMmTORmJiIpUuXKhosWVlZufem3L9/H6VKlUKXLl3w5ptvKv5t6FX0sZRyUURERMDZ2dlgu1Co8Pz8/BAaGoqsrCyD+HB8thvMycnJ4M7eLS0t4eXlBS8vL8TExODSpUs4deoUTp8+DU9PT/j4+Ch6z0znzp1x8eJFhIaGwtvbG/Xq1dPL++rtzCU8PBzh4eH4+uuv8eabb+rjLV8SGxuLyMhIHD9+HBkZGahVqxb8/f1Ro0YNg/igLghD6yZ7//33UaJECaxatUrROkg+Fy9eRPv27fHzzz+jWbNmitXxbDeYg4OD0SyYBzy9wjRnnZm0tDSUKVMGPj4+qFKliiLHrFqtxtChQ3Hv3j388MMPepk/Ti/hcuzYMUyaNAn9+/fX+yWOQghcvnwZERERuHTpEuzs7NCsWTM0b94c7u7ueq1FTobQTZazsNm0adPQr18/RWog+Wm1WjRo0AA9e/ZEcHCwIjVkZ2cjKSkJgOF1gxWGVqvF3bt3cenSJTx8+DD3nhlvb2+9h+WTJ0/wySefoEKFCli+fLnO/6Y6D5f79+9j+PDheOONNzBt2jS9nSGkpaXhxIkTiIyMRGxsLCpWrIiWLVuiQYMGRrujvkjpq8n279+Pnj17IjIyEp6ennp9b9KtESNGICoqClu3btX7e6elpSE1NRVWVlZwdnZW/OxcLvHx8bh8+TKuX78OrVaLKlWqwMfHR6+XCZ87dw6DBw/GBx98gAkTJuj0vXQaLunp6Rg5ciQ0Gg2WLFmil8Vs7t+/j4iICPz111+538D8/PxQpUoVo+n6Kgwlu8mmTp2K3377DX/99ZdJ/m3N2YYNGzBhwgRcuHBBb5fYarVaJCcnIysrC/b29ga3+JVcsrKycP36dVy6dAlJSUlwc3PLvWdGHzOk//LLL5g5cyamTp2Kzp076+x9dPabCCEQEhKCmJgYnQeLRqPB2bNnERERgVu3bsHV1RXt27dH06ZNDe7ac7k9e1f/syGjDxEREWjZsiWDxQT5+flBq9Xi6NGjelkN9tluMBcXF4O4kEBXrK2tUatWLfj4+CA6OhqXLl3CkSNHcPLkSXh5eaFmzZo6vaeua9euuHjxImbMmJF7wYEu6OzM5ccff8S3336LKVOm6GxakMTERBw9ehR//vknkpKS4OXlBX9/f9SpU8dkTqULQ5/dZLGxsahbty4WLVqErl276ux9SDnNmzdHmzZt8NVXX+n0fUy1G6wwUlJScu+ZyczMRMWKFeHj44MKFSro5DjOysrCoEGD8OTJE6xbt04nV7PpJFxOnz6N4OBg9OjRQycro92/fx979+7F2bNnYWVllXtvStmyZWV/L2Ojr26y3377DcOGDcOZM2cUmVqCdG/ChAk4ceIEDhw4oJPtCyGQlJRk8t1ghaHRaHLXmXny5AmcnJxQs2ZN1K5dW/aQefToEXr27AkvLy8sWrRI9h6PIofLp59+ilKlSsHX1xc+Pj7P/eLR0dFITU2Fp6dnvn+Q/NZZX7BgASRJQvfu3V96LC4uDjdu3ED58uVRtmzZV/5RSpUqVYjfyPjkTG4JPD1rkSQp9++t0WgA4LU7TH7t8+6778Le3h5ff/31S4+lpaUhIyMDbm5u+W7fw8Mj38dJWe+//z4qVKiAcePGvfRYRkYGUlJS4O7unu9+kl8bx8fHw9nZGUIICCFe2kcTExPh6OgIa2trCCGQlpYGS0tL2NjY5G7DkG4a1oXt27fn2buTnJyMBw8eIDMz85X3psTGxuL+/fv59g4NGDAArq6uGDt27EuPpaWl4cGDB6hcuXK+XZGVKlUqwG/yvCKPuaSkpGDgwIHYu3cvzpw5g08//TS3uAoVKuReJltU6enpePjwYZ4BUbJkSXh7e7OvH0/DIefAffbmSjkGBhMTE/Hw4UNUrlw5zwM858MiL9nZ2WwfI5CUlIQ6derg8ePHL91/ll/7CiGwfPny3OWRX0UIAZVKhcTExNzPAwcHB1hYWMDCwiL3+M65p8Xe3h6pqamws7Mzm/0nKysrzzEWZ2dnVKhQ4ZXtIITA77///tqVX1NSUgAArq6ueY5B6+qztFh9JvXq1cPYsWPh5+eHwMBApKen//+GZeiOef/995/bZo5nv/0QckPFwsICcvdy7t69G0OGDMnzsfw+eLp27YoFCxbIWgvpxrRp0/Jciye/Y+yHH36ApaUlEhISXrv9+Ph4ODo6wsnJCXZ2dkhKSkJGRkbuRSgZGRlITEyEk5MTbGxsUKJEidypXujV7XDx4kW88847r+09AIDly5fjk08+KdT2i6vYCSBJEpo1a4ZPP/0Uo0ePzk1JOfj7+2P+/Pmybc9UPdslptVqZd22i4sL9u7dW6jQCg4OxtSpUzmRpZGQJAljx45FdHR0gV/zv//9DwMHDnztmQvwtFvL0tISkiTBysoKrq6u0Gq1SE1NRWpqKrRaLVxcXHLPtiVJQmZmZpF/H3Nx4sSJAgULAFhZWaFy5cp5flnXFdlGe728vDB58mSMGTMGiYmJsmxTkiQ8evRIlm2Zi5xusoIo6PN+/PFHHDlypMDb/Pnnn9GgQQO9XLNP8hg9evRru1dyREVFYfbs2QX+xvtil48kSbC3t4eTkxOcnJxgb29vlleIFYcQAuXLly/Ua+bPn6+TC6xeRdYWrVq1KqZNm4bAwMBCfQvKT7t27aBWq2XZljlQqVS5g/k5csZjtFrtcz8FDRdfX99XnlK/KDIyEps2bSp03aQsSZKQkZFRoH2iU6dOhVqH6VUhlF/3tpOTk+xdvIassD0Op0+fRtu2bQv1GktLS8THx+vt7yr714Xy5csjJCQEU6ZMwaVLl4q9vbfffhsrVqyQoTLz8Gz32IuhktdzC7rN6tWrF2in7NmzJxo1alToukl5v/32Gw4fPvza5yUmJup8zNPGxgZZWVk6fQ9Dsnv37pe+FObn3LlzRbqK7ocffkBISEihX1cUOjkXdXd3R1hYGL777jvs37+/WEkpSRKuXr0qY3WmJa878lUq1XOholKp8vwpzAfE1q1bMX369NfW4urqWpRfgwyAt7f3aycgjYuLw6JFi3ReiyRJuXfsm4OGDRti+/btBfqsFEIUeQYDNzc3bNmyRS9nLzrr6LSzs0NISAhOnz6NlStXFmuguU6dOgV+fWZmZqG+AZgiSZJeCpHiftN0cHDAkiVL8n3Onj17sGPHjmK9DynLzc0t3w+eLl266HQ+KnNVunRpNGjQoEBnjvHx8cVqgxUrVmDdunVFfn1B6XQUzcLCAuPGjYO7uzu+/PLLIn/o9+vXD7/88ku+zxFC4OjRo/j++++xYsUKWa9aM2Q5V4q9KCdQ5Oy+GDBgAFJTU1/5+MCBA1GxYkXZ3o/0b9u2bfmOmd2+fZu3AehIpUqVYG1tjXv37uX7vB07dsDFxaXI71OnTh2sXLkS2dnZRd5GQej8Eg1JkvD+++/jnXfewcSJE4t0OmZhYYE///wz3+ccPnwYDx8+RJ8+fdC9e3dcuHChqCUbFX0Oek6fPh3//e9/X1lHcXZ4MgzlypXL805u4Okd+yNHjtRzRealadOmiIiIyPeLuByhsGHDBgwdOrTAF3EUhd6uFW3WrBni4+MRHh6Ovn37Fvr1jRo1QnZ2dp5rsdy9exeXL1/GkCFDIEkSrK2tFVvt0pRJkoQHDx7kecfw5s2bsXPnToUqIzm1aNEiz2OtZ8+er+1BkJM5niFJkoR3330X27dvR5cuXV56PDMzE76+vsV+n3LlyqF3794YN24catSoATs7O7i6uqJ58+b5TstVGHq9uPztt9/GoUOHinQVyCeffILFixe/9O9ZWVn47rvvMHjw4Od2RnPcMfVh165d+Oabb17699GjR7NLzER8//336N2793P/JoTAyZMn9XpcmetElvb29qhSpQquX7/+0mPbtm2TbYr81q1bY9asWWjTpg0aNmwIV1dXzJw5U7YF4vQaLpIkYfHixUW6c1ulUiEuLu65gX0hBObPn4+xY8fyJiw9qVKlCtauXfvcvUe3b99Gnz59FKyK5GRlZYXbt28/d5f87t279X5LgK2trVnd6/KsevXq4cyZM8/dUS+EQEZGhqwB7+TkhNq1a6NRo0Zo164dwsLCcPLkSWzcuLHYf3u9fyLb2dkhLS2tSIUHBQVh+fLl0Gq1yM7Oxtq1a9G+fXudrEVAr7Znzx5069YN2dnZSE9PxzvvvIOZM2cqXRbJaOfOnXj//fehVquRkpKCMWPGoH379nqvw5zudXlWTvfYtm3bcsdFDh06hHfffVen72tpaYmpU6fi+vXruYP+RQ2ZYo25FPVNlyxZgg0bNrz2ru8Xt+/o6IiaNWsiPDwcmZmZaNy4MerVq/fKOsyla6y49xEVdtsVKlRA9+7dMWjQIGRkZGDNmjWvfK65tIExy6vdXFxcMHDgQAwZMgRJSUm5l5gXpY2Ls3+mp6c/N/2+qcrrb2RpaYn27dvjwIEDuevdODg46KUNJk2ahPDwcAQHB6NcuXIIDg4u1OuBYqznsn79erzxxhtFeSmAp3f5Nm/e/JWP7927F56ennk+lpSUBCsrK9jZ2eX7Hqa+lkhOF2FxPsDze+2CBQvQrFmzVz4eGxsLS0vLfG+cbNKkSZFrI91btGgRmjZt+srHHz9+DBsbm3yX3W3cuPErH0tLS8vzIpyC0mq1Jh8u586dy3fBvZyZo/Mbg8rv9atXr0bDhg2LVFtiYiIyMzPRrl27Qr+2yOGS38s0Gg2ysrJe++Gf3wdbftvXarVISUl57TrTpv6tWY7+6OK0gUajee0Hh6m3gbHTdRu/bh9Vq9WvneDU1Peh/P5GmZmZEELA1tY2320UtQ2EEEhPT4e9vX2Rt/8qRR5zefYmvRd/5syZg759+yIuLi7f5xV1+ydPnsSUKVOQmZlZ5O2bgvx+95y1MvJ7TnHaIDQ0FA0bNnxudUFzbANjl1/bhYeHo0aNGkhPT9fJPpSZmYmEhASo1Wqz3ofy+93/+ecfbN26VWfH8YoVK9CqVSvcu3dP9jbQyYB+zmXBU6dO1cmMxl5eXhBC4Nq1a7Jv21TkLBymq6lw/P398eTJE1kmJyXDFBkZiUaNGr32W21R5FwoYGtrW6xuM1P34MEDlCtXTifbPnz4ML799lsMHTq0SMsYv45OwsXNzQ1TpkzBlStXXjsfVVG4u7vD3d2d4ZIPSZJgYWHxyhmRi6tx48awtbVFZGSk7Nsm5anVahw9ejTftdmLSqvVIjExERYWFnB0dJR9+6YiIyMDcXFxhV63pSDu3LmDyZMno1WrVhgwYIDs2wd0eClyrVq1MHr0aPz222/YtWuX7NuvUaMGrly5Ivt2TUnOxJUajUb2+wVsbGzg6+tboIn2yPj8888/SE5O1km45Mx27OLiYhbdXkWVsyaW3GcuaWlpGD9+PEqWLIlp06bp7B5Bnd7n0qlTJ7z99tuYN2+e7EHg5eWFR48eybbqpamysLCAJElQq9WyB4y/vz/+/PNPnU+AR/oXEREBJycn1KtXT9btpqSkIDs7G87Ozrzx+TUePHgAV1dXWbslhRCYOnUqHj58iDlz5uh0FgSdtq4kSQgICEC1atXw5ZdfIiEhQbZte3t7AwDXeimAnPXL5R5/admyJdLT03H69GlZt0vKi4yMRLNmzWRdqjozMxPp6elwdHTkOEsBREdHy94ltnbtWuzduxfTpk3T+a0aOv/qYG1tjalTpyI7OxvTp0+X7QPOwcEBFSpUYLgUkC4G+GvXrg1XV1d2jZmY9PR0nDx5En5+frJtU61WIzk5GTY2Nq+9RYGA5ORkJCcny9oldvz4cSxevBgDBgxA69atZdvuq+jlvLRUqVL44osvcPbsWXz33XeybbdGjRq4evWq2c4/VBi6GOBXqVTw8/NDRESELNsjw3DixAlkZ2fLFi5CCCQlJcHCwgJOTk6ybNPUPXjwAJIkoWzZsrJtb+LEifD19cXw4cNl2ebr6K3T84033sDQoUPx008/4eDBg7Js09vbG4mJiYiJiZFle6ZOFwP8LVu2xOnTp5GcnCzL9kh5R44cQenSpeHl5SXL9pKSkqDVauHs7MwB/AKKjo5GqVKliryc8bMyMzMxfvx4ODk54euvv9bbWJdeR9S6du2KNm3aICQkBLdu3Sr29qpVqwYLCwt2jRWC3AP8fn5+0Gg0OHbsmAzVkSGIiIiAn5+fLEGQmpqKrKwsODs7w8LCQobqTJ8QQrb7W4QQmDFjBm7fvo3Zs2e/dlYTOel9yv1x48ahQoUK+OKLL4r9bdfa2hoeHh4Ml0KSc4C/atWqqFixIrvGTER8fDzOnz8vyyXImZmZSEtLg4ODgyzfwM1FfHw8MjMzZRnM//HHH7F9+3Z88cUXuRdB6YverwW0sbHBtGnTkJycjJkzZxb727O3tzeuXbumkxsFTZlcA/ySJKFly5YMFxNx9OhRCCGKPd6i0WhyB/B1cYe/KXvw4AEsLS1RqlSpYm3n77//xty5c/HJJ5+gY8eOMlVXcIpcaF6uXDlMmjQJJ06cwNq1a4u1LW9vb2RkZCAqKkqm6syDnAP8fn5+uHz5Mse+TEBERAQ8PT2L1SUjhEBiYiJUKhUH8IvgwYMHKFOmTLG6EWNiYhAcHIz69evj008/lbG6glPsLqYmTZpgwIAB+P7773HkyJEib6dy5cqwsbFh11gRyDXAn/Mtl1PBGL/IyMhid4klJydDq9XyDvwi0Gg0ePToUbG6xLKyshAUFAQrKyvMmjVL1nuVCkPRW2R79OgBPz8/zJo1q8hnHiqVCl5eXgyXIsoZ4C9O91ipUqVQq1Ytdo0ZuaioKNy+fbtYXWJpaWnIzMyEk5MTB/CL4PHjx1Cr1cUKl9DQUFy5cgWhoaFwc3OTsbrCUTRcJEnChAkTULJkSXzxxRdIS0sr0na8vb1x8+ZNs10Stbhyxl+KM4O1n58fDh8+zHuOjFhkZCRUKlW+i/jlJysrC6mpqbC3tzf5Bb505cGDB7C1tS3y0u1btmzB5s2bMXHiRNSuXVvm6gpH8cl97O3tMW3aNMTGxiIkJKRIH07e3t7QaDSyXN5sjiRJgqWlZbEG+Fu2bIkHDx6wDYzYkSNHUK9evSJdrqrRaJCUlARra2udzldl6qKjo1GuXLkidSeeP38es2bNQteuXfHee+/JX1whKR4uAFCpUiVMnDgRERER2LBhQ6FfX6ZMGTg7O7NrrBiKO8DftGlTWFpasmvMSGm1WkRERBRpvCXnDnyVSqXX+yhMTVZWFh4/flykLrG4uDgEBQWhZs2aGD9+vA6qKzyDCBcAaNGiBXr27IlVq1bh5MmThXqtJEnw9vbmFPzFVJwBfgcHBzRs2JDzjBmpK1eu4MmTJ0Uab0lOToZGo+Ed+MX08OFDCCEKfaWeWq3GhAkToFarERISYjD3FBlMuABAv3790LhxY8yYMQMPHz4s1Gu9vb1x//59pKam6qg681CcAf6WLVviyJEjOlv9knQnMjISNjY2aNy4caFel56enjuAr9RVSaYiOjoaTk5Ohb58e/78+Th79ixCQkJQunRpHVVXeAYVLiqVCpMmTYKjoyO++OILZGZmFvi13t7eEELg+vXrOqzQPBR1gN/f3x+JiYk4f/68jiojXYmIiMCbb75ZqIH47OxspKSkwM7OjgP4MijKlC87d+7E+vXrERgYiAYNGuiosqIxqHABACcnJ0ybNg337t3DnDlzCtw94+rqitKlS3PcRQZFHeBv0KABHBwcOO5iZNRqNY4dO1ao8RatVoukpCRYWVlxqWIZpKWlISEhoVDjLVeuXMG0adPQqVMnfPzxxzqsrmgMLlyApxNSBgUFYd++ffj1118L/DqOu8inKAP8VlZWaNasGcPFyJw+fRppaWkFHm/JuQMfAAfwZVLYJY2TkpIQFBSEqlWrYtKkSQY51mWQ4QIArVu3xocffoilS5fi7NmzBXqNt7c3YmNjERcXp+PqzENRBvj9/f1x/PjxQnVpkrIiIyPh4uJS4PsiUlJSoNFo4OLiwqWKZfLgwQO4ubnB1tb2tc/VarX47LPPkJKSgtmzZxtsl6RB7xlDhgxBvXr1MG3aNDx+/Pi1z69evTokScK1a9f0UJ15KOwAv7+/PzIzMwt9xR8pJzIyEi1atCjQHfUZGRnIyMiAo6MjB/BlVJgljZcsWYITJ05g5syZsi+DLCeDDhcLCwt8/vnnsLKywpQpU5CdnZ3v8+3t7VGpUiV2jcmsMDMo16xZEyVLlmTXmJFISUnB6dOnCzTekp2djeTkZNjZ2RXoGzYVTGJiIlJTUwsUFPv378fq1asxatQo+Pr66qG6ojPocAGeDtRPnToVN27cwIIFC177fG9vby59LLPCjL9IkgR/f3/e72Ikjh8/DrVa/drxFg7g686DBw+gUqlQpkyZfJ938+ZNfPnll2jbti369Omjp+qKzuDDBQBq1KiBMWPGYMeOHdi2bdtrn5uSklLo+2Qof4UZf/H398e5c+dyB33JcEVGRqJChQqoWrVqvs9LSkoCwAF8XYiOjkbp0qXz7WZMSUnB+PHjUa5cOXz55ZcGOYD/IqMIFwDo2LEjunTpgoULF+LixYuvfF7VqlVhZWXFrjEdKOgSyS1btoRWq8XRo0f1WB0VRc6UL/l9WKWkpCA7OxvOzs4cwJeZECJ3PrFX0Wq1+OKLLxAbG4vZs2cbzeJrRrWnjBw5Et7e3pgyZcorrwizsrLi0sc6VJAlkitUqAAPDw92jRm4x48f4/Lly/l2iWVkZCA9PR2Ojo6wsrLSY3XmITY2FllZWfmOt6xatQqHDh3CjBkzULlyZT1WVzxGFS6WlpaYMmUKhBCYNm3aK+8gr1GjBq5fv85pSHSkIAP8/v7+HNQ3cDmL9LVo0SLPx9VqNVJSUmBraws7Ozt9lmY2oqOjYWVlhZIlS+b5+JEjR7Bs2TIMGTKk2Iu46ZtRhQsAuLu748svv8TFixexfPnyPJ/j7e2NrKws3LlzR8/VmYeCDPD7+/vjxo0bePDggZ6ro4KKjIxEjRo18lyrPWcA38LCggP4OvTgwQOULVs2z+7GqKgoTJo0CX5+fhg8eLAC1RWP0YULANSpUwcjR47E5s2bsXfv3pcer1ChAuzt7dk1pkOvG+Bv0aIFJEni2YuBEkLkO8V+cnIyhBCc6ViHNBoNYmJi8uwSS09Px/jx41GiRAl89dVXRjnWZXwV/6tLly5o37495syZ89JklVz6WD/yG+AvUaIE6taty3AxUHfu3MH9+/fzDJfU1FRkZWXB2dmZSxXr0KNHj6DRaF4Kl5xu//v372P27NmFniXZUBhtuEiShDFjxqBKlSr48ssvcy+VzOHt7Y3bt29zGhIdy2+AP2fchfccGZ6IiAhYWlq+dCNeZmYm0tLS4ODgwAF8HXvw4AHs7Ozg6ur63L//8MMP2L17N6ZMmQJPT09lipOB0YYLANjY2GDq1KlIT0/H9OnTn+v/9/b2hlarxY0bNxSs0Dy8aoDf398fMTExnI7HAEVGRqJBgwbPjaeo1WokJyfDxsbGaC53NWZ5Tfly8uRJzJ8/H3379kXbtm0VqkweRh0uwNMljj///HOcPn0aK1euzP33kiVLokSJEuwa04NXDfD7+vrC2tqalyQbGI1GgyNHjjzXJZazVLGFhYXRdsMYk8zMTMTGxj53f8vDhw8xceJENGnSBCNHjlSwOnkYfbgAT9cRGTJkCDZu3Jj7Qcalj/UrrwF+W1tbNGnShOMuBubChQtISEh47hLkpKQkaLVaDuDrSc4U+zlnLpmZmRg/fjzs7Owwc+ZMkxjrMplpTT/66CNcuXIF33zzDSpXroyqVavC29sbx44dw+3btwEAjo6OcHd358GjI8+uYJnTX+/v749Fixbh4cOHubPpsg30TwiBJ0+eICUlBTt37oS9vT0aNmwI4OlCVVlZWXBxcTGJDzVD9WwbXLp0CU5OTnBwcIAQAjNnzsSNGzewZs0auLi4KF2qPIQJSU9PFwMHDhS9e/cWUVFRYtasWcLFxUUAyP3x9PQUYWFhIj4+XulyTVZWVpbIzs4W8fHxYvz48cLCwoJtoJD4+HgRFhYmPD09n2sDR0dHERYWJh49eiRiYmJEamqq0qWarFe1QYUKFURYWJhYvXq1aNiwodi2bZvSpcrKpMJFCCHu3bsnfH19hZWV1XMNmfMjSZKQJEk4ODiInTt3Kl2uSdJqtWLbtm3C3t6ebaCgnTt3CgcHh9y/d15tYW9vLzZt2qR0qSarIG2gUqnEwIEDlS5VdiYXLjt37hQqlSrPRnyxQS0sLPjhpgM5bfCqg4ltoHs7d+4UFhYWrz0WJEkSKpWKbaADBW2DnGPB1NpAEsJ0bkJISEhAxYoVkZ6eXqB131UqFezs7HDv3r2XrjWnomEbKI9toDy2gYlcLZZj7dq1SEtLK1BjAk/nT0pLS0N4eLiOKzMfbAPlsQ2UxzYATObMRQgBLy8v3Lx5s1B3hEuShGrVquHatWu8gqmY2AbKYxsoj23wlMmES2xsbJ6zuxbm9e7u7jJWZH7YBspjGyiPbfCUyXSLpaSkFOv1ycnJMlVivtgGymMbKI9t8JTJhEtx15zglBfFxzZQHttAeWyDp0wmXNzd3eHp6VnovkpJkuDp6Qk3NzcdVWY+2AbKYxsoj23wlMmEiyRJGD16dJFeGxAQYBIDaEpjGyiPbaA8tsFTJjOgD/DackPANlAe20B5bAMTOnMBAFdXV2zatAmSJL12WVCVSgVJkrB582aTaUxDwDZQHttAeWwDmNbElTnym8/n2Xmtdu3apXSpJottoDy2gfLMuQ1MMlyEeDoT6fz581+aidTT01PMnz9fJCQkKF2iyWMbKI9toDxzbQOTGnPJixACcXFxSE5OhpOTE9zc3ExmwMxYsA2UxzZQnrm1gcmHCxER6Z9JDegTEZFhYLgQEZHsGC5ERCQ7hgsREcmO4UJERLJjuBARkewYLkREJDuGCxERyY7hQkREsmO4EBGR7BguREQkO4YLERHJjuFCRESyY7gQEZHsGC5ERCS7/wNjHHEYb6swSgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 500x800 with 44 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "090dde1c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
